Factual error: It's a superhero movie, but the human Catwoman escapes Batman by jumping off the building, onto a train moving at full speed, in a fall that is shown taking at least 10 floors (first shot, she is still upside down) + another 10 (when she flips so she can land on her feet). Over twenty floors of casual, unassisted freefall jump feel a little over the top already, and again, it's on the top of a moving train, that alone should be impossible to happen the way it does here, not affected by the lateral speed of the train at all. (00:10:40)
Other mistake: Catwoman faces three random guys in the alley, trying to kill Batman. The one with the red jacket first pulls out from his pants a baseball bat (!), then he attacks her with a crowbar. (00:12:20)