Here is the full list of all 16 Puzzle Puppers achievements. It takes around 1-2 hours to unlock all of the achievements on Windows.
Get 3 hearts on level 80
Get 3 hearts on level 75
Get 3 hearts on level 70
Get 3 hearts on level 65
Get 3 hearts on level 60
Get 3 hearts on level 55
Get 3 hearts on level 50
Get 3 hearts on level 45
Get 3 hearts on level 40
Get 3 hearts on level 35
Get 3 hearts on level 30
Get 3 hearts on level 25
Get 3 hearts on level 20
Get 3 hearts on level 15
Get 3 hearts on level 5
Get 3 hearts on level 10