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