Maybe there can be a Chinese New Year group? But they're not all the same animal?
Tiger - Lioness
Rooster - Chicken
Rat - Rat
Ox - Cow / Stage 2 horse (?)
Monkey - Monkey
Horse - Adult Horse
Snake - Eastern Dragon
Dragon - Tess Dragon
Dog - Flop Eared, Curled Tail Dog
Rabbit - Rabbit (Ears up)
Goat - Deer Lineart w/ horn edits.. err something like this
Pig - Guinea pig? :p (Just with a little less fluff maybe?)
They could have floral, geometric, or astronomy designs on them with a symbol or something. Not sure if this was suggested already, but it could be slightly similar to the zodiac signs?
Sorry if it was, I wanted to see a group of pets that weren't all the same breed