Spec Ops: The Line

Along with achievements in-game tracker are the cumulative types, you will naturally progress through the story and having these earned in a single playthrough is easily possible, do not forget to switch weapons plan on what weapons you will use if the rarer types such as the sniper appears you must keep it. If you want a quick grind I suggest early chapter being Chapter 5: The Edge because not only the game saves on the spot where Weapons Expert enemies appear first time but there are weapons you can use to grind, also some miscellaneous if you care.

For more information as an example check Part 2 of my guide.