What has 2 arms, 2 wings, 2 tails,
3 heads, and 8 legs?
Scroll down for answer and notes.
This is another one of my favorite riddle types. The original source I used had a "chicken," but I really don't think about chickens as having tails (although of course they do)... so I switched it to "peacock," since peacocks have very dramatic tails. Of course, any kind of bird will do; you need a bird to supply a wing, tail, head, and 2 of the legs.
There are lots of riddles like this and the variations are endless based on what kind of creature the person is riding (and it could be two people), plus what animal(s) the person(s) might be carrying. Or perhaps some other thing: since chairs have four legs, for example, you could have it be a person sitting on a chair rather than riding, etc.
A person on a horse carrying a peacock.