This is story related and cannot be missed, just complete every stage of every world to unlock them all, here's a guide for beating the game's story
Warning: This game is pretty glitchy in terms of the achievements, most of the time, you'll only get 1 achievement after you beat a stage, even though a lot of times, you'll should have gotten multiple at once. So i don't recommend going for a lot of achievements until you get a good chunk of the easy ones
If you're having trouble with the achievements popping, beat the Daycare Dash level as Buzz and it will force the achievements to pop (for whatever reason), you'll need to unlock Buzz in Daycare Dash first, so don't worry about collecting achievements for now, just enjoy the game for a while and then go for the achievements.