When I was little my uncle had a horse named Catch Me If You Can. Catch for short. He would willingly come to my sister, who was about five at the time, but my uncle could never catch him. He really liked it when we visited because Catch would come to the fence for my sis.
Had a family friend who was a Standardbred trainer. He had sulky horses named Farlan, High Hoss and Valley Air.
Also knew horses named Grit, Whiskey, Zinger, Seven, and Africa, who was a black QH. I am sure there are a lot more but the only other one I can think of is an appaloosa named Inca.