Coromon

When the game starts, after you choose your character name, hair and clothes, leave your room and enter in your mother's room in north door. Inside the room there is a diary, just interact with the diary to read it and unlock this achievement.

Once you finish the Hayville City part of the game, you'll receive a text message on the cellphone from the character's mother. After that, just return to Lux Solis Campus, go to the station, take the train back to your home, talk with your mother and then interact with the oven to unlock the achievement.

In Donar Island City, go to Trainer Hub (the Coromon Center where you heal your coromons). On the upper floor are two scientists, the left one will Traitformat one of your coromons for a 1000 gold fee. He gonna take the selected coromon for some time and will send a text message on your cellphone when the proccess is done. When you receive the message, return to the scientist and the achievement will pop when you get your coromon back.

In Donar Island City, go to Trainer Hub (the Coromon Center where you heal your coromons). On the upper floor are two scientists, the right one will Potentiflate one of your coromons for a 2500 gold fee. He gonna take the selected coromon for some time and will send a text message on your cellphone when the proccess is done. When you receive the message, return to the scientist and the achievement will pop when you get your coromon back.

You do not need to keep a single Coromon from evolving twice. Simply cancel evolution twice with any Coromon to complete the achievement.

Before Swurmy is level 14, have it gain 6x attack stages all in one battle, and it will evolve in that battle. Two moves that can increase Swurmy's attack are: Rage (learned at level 3) and All In (learned from a flash move). Either move will work to complete the achievement.

One you unlock the Push mechanic for your Gauntlet by completing the events in Hayville, you can go back to the R&D Lab at Radiant Park (teleport to Lux Solis then go south to next area) to complete this achievement. Go inside the R&D Lab and go upwards through two sliding glass doors. The push lock is in the left-most corner in this room next to Velma. You need to continue to try to push the button until the screen displays a push of 100. This may take a little bit of time, but once completed you will unlock the chest and the achievement.

You will need two things to complete this achievement. 1. A low-level Purrgy (Level 10-ish), which you can catch at Pawbury Town. 2. Go to Pawbury Town, and buy around 10-15x Purrgy Nibbles under the "Other" tab at the Item Shop. Try to level the Purrgy one level at a time, or feed it Level Cakes. At each level up, feed it a Purrgy Nibble until it evolves from feeding. I had to feed 13x Nibbles to a level 11 Purrgy at each level until level 24 for it to evolve into a Ghinx.