I don't own any, but I enjoy meeting cats.
I'm friends with my neighbourhood cats. Once, one followed me home from town, I stopped by a fast food place and shared a bag of chips with it. It was probably a stray but it was cute.
Every time I see a cat or dog, I always walk over to it and pet it and talk to it like a baby, hahaha!
My brother used to own pet mice, one used to love chewing at my finger and let me stroke it's tiny nose.
I'm not too keen on rats, a lot of the ones I've met were very vicious.
As for wild animals, I love lions but I wouldn't dare go near one.