The first skeleton of Tyrannosaurus rex was discovered in 1902 in Hell Creek, Montana, by the Museum's famous fossil hunter Barnum Brown. Six years later, Brown discovered a nearly complete T. rex skeleton at Big Dry Creek, Montana.
The rock around it was blasted away with dynamite to reveal a “magnificent specimen” with a “perfect” skull. This skeleton, AMNH 5027, is on view in the American Museum of Natural History's Hall of Saurischian Dinosaurs. It's also reproduced in their new exhibition T. rex: The Ultimate Predator Exhibition should you find yourself lucky enough to be in New York.