Only two guesses? Well, despite the low turnout in comments below, I will still post the picture of the animals I'd like to have in my big backyard: these itty bitty goats.
I don't know much about them, but they always catch my eye when I see them. I have no idea if they are of the pygmy or the dwarf variety, so I need to do some research. They're just so cute (to me) in person, and they seem very useful in supplying milk, meat, and hair (for yarn) to many families around the world. Having a goat doesn't seem like a baa-aa-aad idea, right?
This one was, by far, the friendliest. He came up right up to the fence to make friends (or beg for food.)
I'd also like to have chickens, one (or more) of these huge Flemish Giant rabbits, and a chinchilla (inside, of course.)