Exhibit A: 1962's The Manchurian Candidate. Here are two scenes. First, watch Sinatra, as battle-scarred veteran Maj. Bennett Marco, attempt to light his cigarette as Janet Leigh looks on in pity.
Next is the scene in which Sinatra and Henry Silva (also in Ocean's 11) carry on a fairly convincing brawl. Although it is obviously stunt men in some frames, Sinatra is involved enough that I always wonder if his hairpiece was ever accidentally disturbed by Silva.