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