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.
Dalmation
HAM
There are not many animals that rhyme with worry. There are no animals that rhyme with worry in the English language.
herd
* baboon * loon
crane (bird)
bee, flea, wallaby,
moo cow
Ask God.
Bear Hare