In Go Tell the Spartans (1978), there is a classic scene between Burt Lancaster and a nerdish young MI officer (played, I think, by David Clennon - or was it Joe Unger?). The MI officer is armed with statistics, charts, and computer readouts and is trying to advise Lancaster where and when the next VC attack will take place. He, of course, is the world-weary US adviser who relies on instinct and experience. Illustrates the tension between warfighters, theorists, and analysts - much like what you get on this forum. A lot of other great material in this lesser-known gem.

Would also recommend the knife-fight from Butch Cassidy and the Sundance Kid.