Here is the full list of all 16 MY DOG! achievements.
Complete: "Level 16"
Complete: "Level 15"
Complete: "Level 14"
Complete: "Level 7"
Complete: "Level 6"
Complete: "Level 13"
Complete: "Level 12"
Complete: "Level 11"
Complete: "Level 5"
Complete: "Level 4"
Complete: "Level 10"
Complete: "Level 9"
Complete: "Level 8"
Complete: "Level 3"
Complete: "Level 2"
Complete: "Level 1"