Here is the full list of all 16 PuzzlePet - there are Feed your cat achievements.
Complete Level 01 - 05
Complete Level 06 - 10
Complete Level 11 - 15
Complete Level 16 - 20
Complete Level 21 - 25
Complete Level 26 - 30
Complete Level 31 - 35
Complete Level 36 - 40
Complete Level 41 - 45
Feed a cat for the first time
Feed a cat twice for the first time
Feed 100 cats
Collect 150 cat food
Make the path 500 times
Use the retry button 10x
Complete all levels