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