Monster Hunter: World

Monsters in Monster Hunter: World spawn in varying sizes. Killing or capturing a monster above a certain size threshold will grant you a "large gold crown" in your hunting log. Likewise, killing or capturing a monster below a certain threshold will grant you a "miniature crown."
In total, there are 60 monsters capable of granting crowns in the game. 4 of those are excluded from achievement requirements. They are: Stygian Zinogre, Rajang, Furious Rajang and Frostfang Barioth.

The method to farm crowns is different depending on the crown. Use CTRL+F to find the monster you're looking for, or use the spreadsheet at the end.

The following quests are guaranteed to grant you the corresponding crown:

★3 USJ: Gold Star Treatment: Miniature Great Jagras and Giant Great Jagras
★3 Down the Dark, Muddy Path: Giant Barroth
★6 Egg Lovers United: Giant Kulu-Ya-Ku
★7 A Rush of Blood: Miniature Odogaron
★7 USJ: Blazing Azure Stars: Giant Dodogama and Miniature Azure Rathalos
★8 The Blazing Sun: Giant Teostra
★9 The Greatest Jagras: Giant Great Jagras and Miniature Deviljho
★9 The Name's Lavasioth!: Giant Lavasioth
M★2 Kadachi Twins: Miniature Tobi-Kadachi and Giant Viper Tobi-Kadachi
M★2 Paolumu Lullabies: Miniature Nightshade Paolumu
M★3 Seeing is Believing: Giant Tigrex
M★6 Don't Forget The Earplugs!: Miniature Yian Garuga
M★6 A Farewell to Zinogre: Either Miniature Zinogre or Giant Zinogre (50/50)
M★6 Brand New Brute: Either Miniature Brute Tigrex or Giant Brute Tigrex (50/50)
M★6 Mighty Muscle Monkey Madness: Giant Furious Rajang
M★6 Monkey Business: Miniature Furious Rajang

Following those, the quests below have a relatively high chance to grant crowns (12% small/12% large) for any of the monsters in them:

★7 Deep Green Blues: Great Jagras, Pukei-Pukei, Tobi-Kadachi, Anjanath and Rathalos
★7 Wildspire Bolero: Kulu-Ya-Ku, Barroth, Jyuratodus, Rathian and Diablos
★7 Coral Waltz: Tzitzi-Ya-Ku, Paolumu, Pink Rathian and Legiana
★7 Effluvial Opera: Great Girros, Radobaan, Odogaron and Bazelgeuse
★7 Rock N' Roll Recess: Dodogama, Uragaan, Lavasioth and Azure Rathalos
M★6 Yodeling in the Forest: Anjanath, Rathalos, Nargacuga, Yian Garuga and Rajang
M★6 Heavy Metal in the Waste: Jyuratodus, Nightshade Paolumu, Glavenus, Black Diablos and Savage Deviljho
M★6 Symphony of the Coral: Paolumu, Legiana, Coral Pukei-Pukei, Ebony Odogaron and Zinogre
M★6 Rotten Canzone: Great Girros, Odogaron, Tigrex, Fulgur Anjanath and Acidic Glavenus
M★6 Alt Rock Recess: Uragaan, Azure Rathalos, Banbaro, Brachydios and Seething Bazelgeuse
M★6 Ballad of the Hoarfrost: Beotodus, Viper Tobi-Kadachi, Barioth, Shrieking Legiana and Stygian Zinogre

This leaves the following monsters, that can be farmed either in investigations, or in the Guiding Lands:

Deviljho: Does not appear in Master Rank, look for him in High Rank investigations.
Nergigante: Does not appear in Master Rank, look for him in High Rank investigations.
Vaal Hazak: Does not appear in Master Rank, look for him in High Rank investigations.
Kirin: Guiding Lands, High Rank and Master Rank investigations.
Kushala Daora: Guiding Lands, High Rank and Master Rank investigations.
Teostra: Guiding Lands, High Rank and Master Rank investigations.
Lunastra: Guiding Lands, High Rank and Master Rank investigations.
Velkhana: Guiding Lands and Master Rank investigations.
Blackveil Vaal Hazak: Guiding Lands and Master Rank investigations.
Ruiner Nergigante: Guiding Lands and Master Rank investigations.
Namielle: Guiding Lands and Master Rank investigations.
Scarred Yian Garuga: Guiding Lands (lvl6 or 7 Forest Region only!) and Master Rank tempered investigations.
Gold Rathian: Guiding Lands and Master Rank investigations.
Silver Rathalos: Guiding Lands and Master Rank investigations.

To farm investigations, use your Tailraider Safari. Every safari grants you 5 investigations depending on the location where you sent your palicos. As an example, to get Nergigante investigations, send your palicos to High Rank Elder's Recess. To get Vaal Hazak investigations, send them to High Rank Rotten Vale. The Guiding Lands are a good destination to get investigations for many end game monsters. The odds of monsters having crowns depend on the number of reward boxes the investigation has. Those odds apply to all monsters in the quest, even those that are not the target. In general, you should look for investigations with at least 1 gold and one silver box. Monsters in those will have a 3% chance to grant a large crown, and a 6% chance to grant a miniature crown. For tempered investigations, 3 purple boxes are required.

To farm the Guiding Lands, use lures and banishing balls to quickly summon and dismiss monsters until you get one of the desired size. Both of those can be made at the Elder Melder.

You do not necessarily need to kill monsters every time in order to farm their crown. You can place your character next to the monster and take screenshots to keep a frame of reference, or simply one of many Youtube guides to know what visual clues to look for. If you realize that the monster isn't the right size, you can simply skip the fight altogether. I find this to be tedious, however, and I would recommend against it in the 12% chance quests unless you're down to just one crown you need.

Returning from a quest does not make you lose your crowns. You can end a quest immediately after killing/capturing the monster you wanted. Select Return from quest, not Abandon quest.

Finally, here is a link to my personal spreadsheet, which contains all of this info and then some, as well as a crown checklist you can use to keep track.

Monsters in Monster Hunter: World spawn in varying sizes. Killing or capturing a monster above a certain size threshold will grant you a "large gold crown" in your hunting log. Likewise, killing or capturing a monster below a certain threshold will grant you a "miniature crown."
In total, there are 60 monsters capable of granting crowns in the game. 4 of those are excluded from achievement requirements. They are: Stygian Zinogre, Rajang, Furious Rajang and Frostfang Barioth.

The method to farm crowns is different depending on the crown. Use CTRL+F to find the monster you're looking for, or use the spreadsheet at the end.

The following quests are guaranteed to grant you the corresponding crown:

★3 USJ: Gold Star Treatment: Miniature Great Jagras and Giant Great Jagras
★3 Down the Dark, Muddy Path: Giant Barroth
★6 Egg Lovers United: Giant Kulu-Ya-Ku
★7 A Rush of Blood: Miniature Odogaron
★7 USJ: Blazing Azure Stars: Giant Dodogama and Miniature Azure Rathalos
★8 The Blazing Sun: Giant Teostra
★9 The Greatest Jagras: Giant Great Jagras and Miniature Deviljho
★9 The Name's Lavasioth!: Giant Lavasioth
M★2 Kadachi Twins: Miniature Tobi-Kadachi and Giant Viper Tobi-Kadachi
M★2 Paolumu Lullabies: Miniature Nightshade Paolumu
M★3 Seeing is Believing: Giant Tigrex
M★6 Don't Forget The Earplugs!: Miniature Yian Garuga
M★6 A Farewell to Zinogre: Either Miniature Zinogre or Giant Zinogre (50/50)
M★6 Brand New Brute: Either Miniature Brute Tigrex or Giant Brute Tigrex (50/50)
M★6 Mighty Muscle Monkey Madness: Giant Furious Rajang
M★6 Monkey Business: Miniature Furious Rajang

Following those, the quests below have a relatively high chance to grant crowns (12% small/12% large) for any of the monsters in them:

★7 Deep Green Blues: Great Jagras, Pukei-Pukei, Tobi-Kadachi, Anjanath and Rathalos
★7 Wildspire Bolero: Kulu-Ya-Ku, Barroth, Jyuratodus, Rathian and Diablos
★7 Coral Waltz: Tzitzi-Ya-Ku, Paolumu, Pink Rathian and Legiana
★7 Effluvial Opera: Great Girros, Radobaan, Odogaron and Bazelgeuse
★7 Rock N' Roll Recess: Dodogama, Uragaan, Lavasioth and Azure Rathalos
M★6 Yodeling in the Forest: Anjanath, Rathalos, Nargacuga, Yian Garuga and Rajang
M★6 Heavy Metal in the Waste: Jyuratodus, Nightshade Paolumu, Glavenus, Black Diablos and Savage Deviljho
M★6 Symphony of the Coral: Paolumu, Legiana, Coral Pukei-Pukei, Ebony Odogaron and Zinogre
M★6 Rotten Canzone: Great Girros, Odogaron, Tigrex, Fulgur Anjanath and Acidic Glavenus
M★6 Alt Rock Recess: Uragaan, Azure Rathalos, Banbaro, Brachydios and Seething Bazelgeuse
M★6 Ballad of the Hoarfrost: Beotodus, Viper Tobi-Kadachi, Barioth, Shrieking Legiana and Stygian Zinogre

This leaves the following monsters, that can be farmed either in investigations, or in the Guiding Lands:

Deviljho: Does not appear in Master Rank, look for him in High Rank investigations.
Nergigante: Does not appear in Master Rank, look for him in High Rank investigations.
Vaal Hazak: Does not appear in Master Rank, look for him in High Rank investigations.
Kirin: Guiding Lands, High Rank and Master Rank investigations.
Kushala Daora: Guiding Lands, High Rank and Master Rank investigations.
Teostra: Guiding Lands, High Rank and Master Rank investigations.
Lunastra: Guiding Lands, High Rank and Master Rank investigations.
Velkhana: Guiding Lands and Master Rank investigations.
Blackveil Vaal Hazak: Guiding Lands and Master Rank investigations.
Ruiner Nergigante: Guiding Lands and Master Rank investigations.
Namielle: Guiding Lands and Master Rank investigations.
Scarred Yian Garuga: Guiding Lands (lvl7 Forest Region only!) and Master Rank tempered investigations.
Gold Rathian: Guiding Lands and Master Rank investigations.
Silver Rathalos: Guiding Lands and Master Rank investigations.

To farm investigations, use your Tailraider Safari. Every safari grants you 5 investigations depending on the location where you sent your palicos. As an example, to get Nergigante investigations, send your palicos to High Rank Elder's Recess. To get Vaal Hazak investigations, send them to High Rank Rotten Vale. The Guiding Lands are a good destination to get investigations for many end game monsters. The odds of monsters having crowns depend on the number of reward boxes the investigation has. Those odds apply to all monsters in the quest, even those that are not the target. In general, you should look for investigations with at least 1 gold and one silver box. Monsters in those will have a 3% chance to grant a large crown, and a 6% chance to grant a miniature crown. For tempered investigations, 3 purple boxes are required.

To farm the Guiding Lands, use lures and banishing balls to quickly summon and dismiss monsters until you get one of the desired size. Both of those can be made at the Elder Melder.

You do not necessarily need to kill monsters every time in order to farm their crown. You can place your character next to the monster and take screenshots to keep a frame of reference, or simply one of many Youtube guides to know what visual clues to look for. If you realize that the monster isn't the right size, you can simply skip the fight altogether. I find this to be tedious, however, and I would recommend against it in the 12% chance quests unless you're down to just one crown you need.

Returning from a quest does not make you lose your crowns. You can end a quest immediately after killing/capturing the monster you wanted. Select Return from quest, not Abandon quest.

Finally, here is a link to my personal spreadsheet, which contains all of this info and then some, as well as a crown checklist you can use to keep track.

Monsters in Monster Hunter: World spawn in varying sizes. Killing or capturing a monster above a certain size threshold will grant you a "large gold crown" in your hunting log. Likewise, killing or capturing a monster below a certain threshold will grant you a "miniature crown."
In total, there are 60 monsters capable of granting crowns in the game. 4 of those are excluded from achievement requirements. They are: Stygian Zinogre, Rajang, Furious Rajang and Frostfang Barioth.

The method to farm crowns is different depending on the crown. Use CTRL+F to find the monster you're looking for, or use the spreadsheet at the end.

The following quests are guaranteed to grant you the corresponding crown:

★3 USJ: Gold Star Treatment: Miniature Great Jagras and Giant Great Jagras
★3 Down the Dark, Muddy Path: Giant Barroth
★6 Egg Lovers United: Giant Kulu-Ya-Ku
★7 A Rush of Blood: Miniature Odogaron
★7 USJ: Blazing Azure Stars: Giant Dodogama and Miniature Azure Rathalos
★8 The Blazing Sun: Giant Teostra
★9 The Greatest Jagras: Giant Great Jagras and Miniature Deviljho
★9 The Name's Lavasioth!: Giant Lavasioth
M★2 Kadachi Twins: Miniature Tobi-Kadachi and Giant Viper Tobi-Kadachi
M★2 Paolumu Lullabies: Miniature Nightshade Paolumu
M★3 Seeing is Believing: Giant Tigrex
M★6 Don't Forget The Earplugs!: Miniature Yian Garuga
M★6 A Farewell to Zinogre: Either Miniature Zinogre or Giant Zinogre (50/50)
M★6 Brand New Brute: Either Miniature Brute Tigrex or Giant Brute Tigrex (50/50)
M★6 Mighty Muscle Monkey Madness: Giant Furious Rajang
M★6 Monkey Business: Miniature Furious Rajang

Following those, the quests below have a relatively high chance to grant crowns (12% small/12% large) for any of the monsters in them:

★7 Deep Green Blues: Great Jagras, Pukei-Pukei, Tobi-Kadachi, Anjanath and Rathalos
★7 Wildspire Bolero: Kulu-Ya-Ku, Barroth, Jyuratodus, Rathian and Diablos
★7 Coral Waltz: Tzitzi-Ya-Ku, Paolumu, Pink Rathian and Legiana
★7 Effluvial Opera: Great Girros, Radobaan, Odogaron and Bazelgeuse
★7 Rock N' Roll Recess: Dodogama, Uragaan, Lavasioth and Azure Rathalos
M★6 Yodeling in the Forest: Anjanath, Rathalos, Nargacuga, Yian Garuga and Rajang
M★6 Heavy Metal in the Waste: Jyuratodus, Nightshade Paolumu, Glavenus, Black Diablos and Savage Deviljho
M★6 Symphony of the Coral: Paolumu, Legiana, Coral Pukei-Pukei, Ebony Odogaron and Zinogre
M★6 Rotten Canzone: Great Girros, Odogaron, Tigrex, Fulgur Anjanath and Acidic Glavenus
M★6 Alt Rock Recess: Uragaan, Azure Rathalos, Banbaro, Brachydios and Seething Bazelgeuse
M★6 Ballad of the Hoarfrost: Beotodus, Viper Tobi-Kadachi, Barioth, Shrieking Legiana and Stygian Zinogre

This leaves the following monsters, that can be farmed either in investigations, or in the Guiding Lands:

Deviljho: Does not appear in Master Rank, look for him in High Rank investigations.
Nergigante: Does not appear in Master Rank, look for him in High Rank investigations.
Vaal Hazak: Does not appear in Master Rank, look for him in High Rank investigations.
Kirin: Guiding Lands, High Rank and Master Rank investigations.
Kushala Daora: Guiding Lands, High Rank and Master Rank investigations.
Teostra: Guiding Lands, High Rank and Master Rank investigations.
Lunastra: Guiding Lands, High Rank and Master Rank investigations.
Velkhana: Guiding Lands and Master Rank investigations.
Blackveil Vaal Hazak: Guiding Lands and Master Rank investigations.
Ruiner Nergigante: Guiding Lands and Master Rank investigations.
Namielle: Guiding Lands and Master Rank investigations.
Scarred Yian Garuga: Guiding Lands (lvl7 Forest Region only!) and Master Rank tempered investigations.
Gold Rathian: Guiding Lands and Master Rank investigations.
Silver Rathalos: Guiding Lands and Master Rank investigations.

To farm investigations, use your Tailraider Safari. Every safari grants you 5 investigations depending on the location where you sent your palicos. As an example, to get Nergigante investigations, send your palicos to High Rank Elder's Recess. To get Vaal Hazak investigations, send them to High Rank Rotten Vale. The Guiding Lands are a good destination to get investigations for many end game monsters. The odds of monsters having crowns depend on the number of reward boxes the investigation has. Those odds apply to all monsters in the quest, even those that are not the target. In general, you should look for investigations with at least 1 gold and one silver box. Monsters in those will have a 3% chance to grant a large crown, and a 6% chance to grant a miniature crown. For tempered investigations, 3 purple boxes are required.

To farm the Guiding Lands, use lures and banishing balls to quickly summon and dismiss monsters until you get one of the desired size. Both of those can be made at the Elder Melder.

You do not necessarily need to kill monsters every time in order to farm their crown. You can place your character next to the monster and take screenshots to keep a frame of reference, or simply one of many Youtube guides to know what visual clues to look for. If you realize that the monster isn't the right size, you can simply skip the fight altogether. I find this to be tedious, however, and I would recommend against it in the 12% chance quests unless you're down to just one crown you need.

Returning from a quest does not make you lose your crowns. You can end a quest immediately after killing/capturing the monster you wanted. Select Return from quest, not Abandon quest.

Finally, here is a link to my personal spreadsheet, which contains all of this info and then some, as well as a crown checklist you can use to keep track. Select File > Make a copy to have your own editable version.