Wow, I couldn't even begin to count or name all of mine. We've lived out in the country and have had probably 10 dogs, 20 cats (even more if you count kittens), chickens, ducks, turkeys, pigs, cows, horses, goats, bunnies. My sister had a cockatiel for a few years.
And no we don't/didn't have a farm. And we aren't rich. I used to get that all the time growing up. People thought we were rich and lived on a farm.