R.P.M. stands for (political) revolutions per minute. Anthony Quinn plays a liberal college professor at a west coast college during the hedy days of campus activism in the late 1960s. Radical students take over the college, the president resigns, and Quinn's character, who has always been a champion of student activism, is appointed president. As the students continue to push the envelope of revolution, Quinn's character is faced with the challenge of restoring order or abetting the descent into anarchy.
Harry is a barely functional human. He meets an old friend who is having marital problems as Harry is about to leap off of a bridge. His friend decides that Harry is the man to take his wife away from him so that Milt can be with his girlfriend. Ellen and Harry have an instant attraction and in a short while Harry is wearing Milt's suits and Milt is free. But, Ellen soon discovers that Harry is the world's worst roommate.
International spies Napoleon Solo (Robert Vaughn) and Illya Kuryakin (David McCallum) travel around the globe in an effort to track down a secret formula that was divided into four parts and left by a dying scientist with his four of five daughters, all of whom live in different countries. His widow, Amanda, is murdered at the beginning by the counter-spies of the organization THRUSH. Evil THRUSH agent Randolph also wants the formula, and is aided by his karate-chopping henchmen.
Eddie Kenner is given a special assignment by the Army to get the inside story on Sandy Dawson, a former GI who has formed a gang of fellow servicemen and Japanese locals.