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.
Continuity mistake: Near the beginning a reconnaissance Spitfire overflys a Norwegian fjord, taking high altitude photos of the ship. The movie cuts to the photo lab, where a technician develops the photo. The fjord and the ship can be seen in the tray. However when the technician and his assistant remove the print and study it, you can see (through the back) that this is not the aerial shot just seen, but is a picture of the ship from sea level as viewed from another ship.