Deliberate mistake: In the opening scenes just after the restaurant dialogue, as soon as the scene changes there is a quick cutscene which shows the screen zooming in on the Pentagon. If you look In the lower left corner, the text on screen gives the Pentagon location as being in Washington D.C. however, The Pentagon is located in Arlington, Virginia. (00:19:02)
Deliberate mistake: When Batman enters the replica of The Joker's apartment there's no place for The Joker to hide. Yet seconds after Batman enters, The Joker comes out of nowhere to hit him with a pot.
Deliberate mistake: Where are the motorcades for the other world leaders?