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.
Collect every cat in the game.
Korben, is that you?
Fly away!
Find the secret level.
Collect all postcards pieces 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.
Found him!
Visit every wild west location.
Forge the sword.
Visit every German location.
Do nothing and enjoy the moment.
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!
Destroy everything!