Great video if you haven't seen it yet... WWII vet Ted Gundy starts out making 1,000yd shots with a 1903A4 Springfield. They then give him a modern bolt action and he proceeds to make three consecutive head shots at that distance (about a 5" group).
The YouTube video is from a show called "Impossible Shots" on the Outdoors Channel:
http://www.youtube.com/watch?v=MQRpAxGVg4M