@ElbowTickle - I think the pigeon from WWII is G.I. Joe. He saved a thousand soldiers from marching to their deaths. He flew 20 miles in under 20 minutes -- so he's comparable to that record racing pigeon.
I don't think pigeons are short and fat -- they are very pretty birds. I had a pet pigeon for a couple years and he was sweet. I couldn't let him outside much, because everyone tried to run over the pigeons in the streets.
I thought about breeding homing pigeons for awhile, but it seemed like a long term hobby. I was worried that I would carefully breed and train a pigeon -- only for it to get ran over.