In addition to cats and dogs, I also like horses, cattle, sheep, and birds.
I like horned toads, but as wild creatures, not pets. It supposedly takes someone quite skilled in keeping them to be able to successfully raise them. And some of them are very seriously protected species.
I've never had goats. When I was young, we had them on the farm, but I just barely remember them. I grew up on goats milk, not cows milk. My sister really hated those goats because she was the one who had to milk them.
We used to have a pet steer. My niece kind of adopted it out of the 120 cattle or so we had at the time. When it got time to send the cattle to the feedlot, that steer stayed behind. His named was Cutie Pie. Cutie Pie lived to a ripe old age of about 10 or 12 years.
Burros are okay. It would be interesting to have a couple of buffalos, but they really require heavy duty fences and really careful handling. They aren't very suitable as pets.
What I would really love to have as a pet is a pet skunk. The only thing that really keeps me from doing that is that skunks are supposed to be a major reservoir of rabies. And there are no rabies vaccines approved for skunks. In many states, I think there are state laws against even having skunks for pets. I don't know what the law is in Texas on that matter.
A friend of mine had a pet coyote once. He trapped coyotes and sold the furs for spending money. One day he found a baby coyote near where he had trapped the mother so he raised it by hand. He got to like that pet coyote so much that he quit trapping coyotes completely.
I've heard of people having a pet porcupine. We also have badgers around here but they always seemed to mean to have as a pet.