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!
Korben, is that you?
Find the secret level.
Collect all postcards pieces in the game.
I knew it!
Collect every cat in the game.
Visit every wild west location.
Visit (almost) every location in the game.
Visit every period in the game.
Visit every underwater location.
Visit every Tokyo location.
Visit every New York location.
Found him!
Forge the sword.
Visit every German location.
Do nothing and enjoy the moment.
Visit every Greek location.
Everyone needs some help.
Visit every ancient Egypt location.
Catch some fish.
Solve level without any hints.
Wow, that was quick!
Collect all cats on one level.
Destroy everything!