Continuity mistake: Ingrid Bergman is sitting in the foyer of the hotel she is staying in. She orders a martini, which arrives pronto, but in the first shot, she picks up the drink and has a sip, and in the second shot, she isn't holding the glass anymore.
Continuity mistake: Rex Harrison is the first to buy the yellow car, but he asks for three changes, the first is to move the intercom phone to the left, but when George C Scott buys the car, the phone is on the right side, not the left.
Continuity mistake: When Shirley Maclaine goes swimming in the blue lagoon, her hair is all wet before she enters the cave, but once in the cave her hair is only wet on the ends.