Here is the full list of all 14 Kitten Life Simulator achievements.
Unlock all cats
Play for 60 min
Catch 250 mice
Break 360 vases
Get rid of the dog 20 times with the help of the whistle
Do it to the slippers 50 times
Use a sofa 80 times to sharpen your claws
Jump 180 times
Collect 520 fishcoins total
Use cheese 10 times
Complete all missions in the House
Get into 10 fights with the dog
Unlock all locations
Get 14 achievements