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.
Find the secret level.
Fly away!
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.
Korben, is that you?
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.
Destroy everything!
I knew it!
Do nothing and enjoy the moment.