Here is the full list of all 27 The Little Ball That Could achievements.
Drown 100 times.
You've gone through Purple World.
Collect all items in the level and die before reaching the end.
Restart from a checkpoint 10 times in a single game.
Complete a level in under 10 seconds.
Complete a level without activating any checkpoints.
You've gone through Blue World.
You've gone through Green World.
You've gone through Yellow World.
You've gone through Orange World.
You've completed all tasks in Purple World.
You've completed all tasks in Blue World.
You've completed all tasks in Green World.
You've completed all tasks in Yellow World.
You've completed all tasks in Orange World.
You chose to wander the world with your friends.
You chose to rule your kind.
Break on fall or impact 100 times.
Get killed by mechanisms 100 times.
Complete a level using the Speedy power.
Complete a level using the Armored power.
Complete a level using the Jumpy power.
Unlock all skins in the game.
Start the Game+ Mode.
You've completed all Time tasks.
You've found all Puzzle Pieces.
You've collected all Gems.