Continuity: When Batman is chased by the cops while he is trying to save Rachel, he reaches the roof of a parking lot and stops. A cop orders him to switch off the engine of his vehicle and get out. Later when Batman is chased inside a tunnel, we see a cop asking on his radio what the Batmobile looks like. The Batmobile then zooms past him and he says "never mind". The only problem is that it's the same cop both times, so he knew full well what the Batmobile looks like when it stopped in front of him initially. Probably caused by the order of those sequences being switched in editing, but still a mistake.

Factual error: The bat signal at the end of the film defies physics. The spotlight is a few feet across and is projecting the signal onto clouds far above. To do this, the light beam should get wider as it climbs up (like a flashlight's beam aimed at the ceiling). Yet the shot of the clouds shows rays of light getting wider as they go downward, like sun rays through the clouds. For this to exist, there's either a bat signal floating far above and through the clouds, or the one on the roof needs to be several miles wide, focusing a beam that narrows as it climbs.

Revealing: Near the end of the scene, when Bruce and Fox are in the tumbler Fox says "We never could get the damn bridge to work, but this baby works just fine" then Bruce turns the wheel to the left but the tumbler turns right.