It'd be hard for me to find an animal I don't love haha, but some of my favorites include cats, lions, horses, geckos, sloths, hummingbirds and alpacas. Fennec foxes are adorable, too.
@EOTFOFYL Eh, most insects can be pretty cute though XD You know, small fluffy bodies, big shiny eyes... Even the weirdest ones are so interesting to watch! But I wouldn't keep a hornet as a pet, I'll give you that hahaha.
My absolute favorite animal is the wombat, all three species to be exact. I loved Mr. Wombat (Wombo) from Blinky Bill when I was a child and still continued to love wombats afterwards.
Next is the Indian star tortoise, since I have one as my pet.
Regarding extinct and prehistoric animals I especially like wombat-related megafauna such as Zygomaturus, Palorchestes, and Diprotodon. And Ornithocheirus, the pterosaur with the most beautiful jaws. In my eyes at least...
@Greenfrost:
You can in fact keep foxes as semi-regular pets. That is true at least for the domesticated red foxes bred in Russia since the 20th century. How you might be able to get one is yet another question, though.