There are no perfect rhymes for the word "animal."
Some near rhymes include:
n
As alrighty is not an English word, one can not rhyme with it.
There are not many animals that rhyme with worry. There are no animals that rhyme with worry in the English language.
Dalmation
HAM
herd
* baboon * loon
crane (bird)
bee, flea, wallaby,
moo cow
Ask God.
Bear Hare