Anachronisms: In the Naughty Nazis song, "A Little Piece...", they mention Pakistan as one of the countries. Pakistan was not created until 1947.
Miscellaneous: Bronski becomes agitated when Sobinski wishes him good luck, because wishing an actor "good luck" is bad luck. Yet earlier, Anna wishes him good luck and Bronski is not at all bothered.
Anachronisms: In the Naughty Nazis sketch, a sign reading "The Mark stops here" is standing on Hitler's desk. Since Harry Truman coined the phrase "The buck stops here" for his desk at the Oval Office in the late 1940s, it would have been impossible to make a pun on it in 1939, when the film is set.
Factual errors: Kinski displays a pink triangle on his lapels when going out, explaining this to be mandatory for gay men. Even though Jews were forced to wear the infamous yellow badge in public in occupied Poland after November 1939, gays were not subject to this practice of public discrimination. Pink badges were used exclusively inside concentration camps.
Errors in geography: On his way back to Poland to find and kill Professor Siletski, the plane flies through a region with high mountain areas, and when Lt. Sobinski jumps, his parachute unfolds, while in the background the same scene is shown. There are high mountain ranges in Poland, but they are far from Warsaw, where the Lt. said he would go as quickly as possible in order to prevent the Professor from reaching the Gestapo with his list.