Here is the full list of all 21 Dr. Cares - there are Pet Rescue 911 achievements.
You found all the mice in the game!
You completed the first chapter!
You completed the second chapter!
You completed the third chapter!
You completed the fourth chapter!
You completed the fifth chapter!
You completed the last chapter!
You collected all trophies!
You watched the epilogue and completed the game!
You completed each minigame with the best score!
You bought all gifts for Newton!
You reached three stars on all levels!
You bought all the upgrades in the game!
You scored a total of 500,000 points!
You earned 25 'Purrfect' combos!
You healed you first pet!
You have finished your first day!
Newton entertained 100 pets!
You healed 500 animals!
You played with 50 pets!
Groom 50 pets.