Here is the full list of all 24 Cats in Time achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
Fly away!
Find the secret level.
Collect all postcards pieces in the game.
Korben, is that you?
Found him!
I knew it!
Collect every cat in the game.
Visit (almost) every location in the game.
Visit every period in the game.
Visit every underwater location.
Everyone needs some help.
Visit every Tokyo location.
Visit every New York location.
Visit every wild west location.
Forge the sword.
Visit every German location.
Visit every Greek location.
Do nothing and enjoy the moment.
Visit every ancient Egypt location.
Catch some fish.
Destroy everything!
Solve level without any hints.
Wow, that was quick!
Collect all cats on one level.