I was recently introduced to the genre of no-arms-and-no-legs jokes. Here are some good ones off the internet (multiple sites):
1. What do you call a guy with no arms and no legs on a pile of leaves?
2. What do you call two guys with no arms and no legs hanging around your window?
Curt and Rod
3. What do you call a girl with no arms and one leg shorter than the other?
And here's my contribution to the genre:
4. What do you call a girl with no arms and no legs who was maimed in the Rwandan genocide?
Oh, while on the topic of tasteless jokes, an addendum -- one of the most brilliantly tasteless jokes I know.
Mother. [to blind daughter] Close your eyes and count to twenty and you'll be able to see.
Daughter. Mommy I still can't see.
Mother. April Fool!
I got this one from W.H. Auden's essay "Notes on the Comic," in The Dyer's Hand.