Thanks everyone for your suggestions! 39 total species and breeds suggested, but only one will prevail!
I've tallied it up, and here are the top five recommendations:

Phoenix
Dragon
Rabbit
Sloth
Lion

Totally not anything I was expecting, which is so awesome and I'm excited myself to see how any one of these would turn out!

And now, to figure out the winning species, I ask you to vote for one of the five suggestions! At the end of the week, I'll tally up the results and announce the winner! :3

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But what about the other 34 species? Well, I wanna mention just a few of the fantastic suggestions:
Pug, giraffe, Palla's cat (old man cat!!!! <3), narwhal, armadillo, pangolin, sugar glider, griffon, king cheetah, tadpole (lol), and talbuk (outside the box thinking!)

All suggestions were fantastic, thank you so much guys for your participation! Can't wait to see the results!