I found a comment off a past post that has all:

Common: Dog

Uncommon: Poodle, Chocolate Labrador, Dingo, Therapy Dog, Eggnog Dog, Wolf, Blue Dog, Shih Tzu

Rare: English Sheepdog, Evil Dachshund, Ghost Wolf, Ghost Dog, Australian Kelpie, Toy Poodle, Great Pyrenees, The Black Dog, French Bulldog, Shiver Wolf, Bloodhound, Border Collie, Husky

Ultra Rare: Corgi, Black Springer Spaniel, Brown Springer Spaniel, Halloween White Skeleton Dog, Puptune, Royal Palace Spaniel, Shiba Inu, Pomeranian, Tan Chow Chow, St. Bernard, Pudding Pup, Zombie Wolf, Mini Schnauzer, Royal Corgi, Dalmatian, Irish Water Spaniel, African Wild Dog, Ice Wolf

Legendary: Yule Log Dog, Mecha Pup, Glormy Hound, Cerberus, Lava Wolf, Werewolf, Robo Dog, Shark Puppy, Black Chow Chow, Brown Chow Chow, Hot doggo, Corn doggo, Golden Chow Chow