Factual error: Here's a big historical mistake. The character of German Admiral Lütjens is depicted overall in this film as a wild-eyed Nazi fanatic. In real life, he was distinctly anti-Nazi, vehemently protested the anti-Semitic actions of Hitler's regime, and was himself subject to intense Nazi scrutiny as he was a quarter Jewish and his wife was half Jewish. He was one of many German naval officers who fought only for their country, not Hitler.
Continuity mistake: The Bismarck is sighted by a British agent in southern Norway, sailing out of the Baltic into the North Sea - east to west. But the view through the agent's binoculars shows the ship sailing from right to left on the screen - which would be sailing west to east from the point of view of an observer on the Norwegian coast.
Edward R. Murrow: This is London, Ed Murrow reporting. This island, which is no stranger to bad tiding, received news today that HMS Hood largest warship in the British fleet and pride of the British navy, has been sunk by the German battleship Bismarck. From the Hood's compliment of 1500 men, there were three survivors.