Factual error: French commando Philippe Kieffer is wearing the ribbon of the Military Cross throughout the film. He was actually awarded the MC in July 1944, a month after D-Day.
Factual error: In the film, the mutiny occurs during the day, when Bligh allows a crewman to die of thirst. The actual mutiny occurred in the middle of the night, when Christian and several followers entered Bligh's cabin and awakened him.