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