Continuity mistake: Part 7: The car Captain Henry parks near the cliff at the very end moves itself between takes. It's sitting on the road when he parks it, but when we cut to an overhead shot after he gets out, the car has suddenly moved off the road and into the dirt alongside it.
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Factual error: Churchill tells his aide to fetch "Air Vice-Marshal Dowding". Dowding was actually an Air Chief Marshal, two ranks higher, and wears the correct rank insignia for that rank when he is seen later. As a keen military man, this is not an error Churchill is likely to have made.
Factual error: As Pug and Byron are readying themselves for dinner at the White House, they are discussing the Bismarck. Pug refers to the ship as a "pocket battleship", which it most definitely was not. As a navy captain, Pug should have known the difference between a pocket battleship like the Scheer or Graf Spee, and the real thing.
Factual error: The Royal Navy lieutenant aboard the American warship is wearing a moustache. Royal Navy personnel must be either clean-shaven or wear a "full set" (beard and moustache). They are not (and never were) permitted to wear a moustache alone.