What a range!
If anyone claims that never happens to them, you know you’re dealing with a liar. 
Indeed–explaining his ubiquity at every Academy Awards ceremony. (Well, in his own mind, possibly.)
Anyway, on to other director/actor conflicts: Psycho has been a shown a lot recently, given the time of year, and it’s always a reminder that Alfred Hitchcock did NOT forgive Vera Miles for getting pregnant and dropping out of Vertigo. Her costumes in Psycho set the standard for “dowdy”—reportedly at Hitchcock’s insistence.
Paul Thomas Anderson and Burt Reynolds on the set of Boogie Nights.
Hell, Burt Reynolds vs. everyone on the set of Boogie Nights.
Not really a rivalry, but a wonderful inside joke.
In 1956, Alec Guinness was making his first American movie in North Carolina, and was given a tomahawk as a gift from a local Native American. At the hotel where the cast was staying, he bribed a porter to hide the tomahawk in his co-star’s bed, Grace Kelly. Over the next 26 years, the tomahawk was traded back and forth between them a few times, always surreptitiously, and with neither one ever confronting the other.
I read that De Niro had to direct Brando’s scenes.