Corrected entry: During the 'know your limits' speech Bruce takes his shirt off and we can see that he is covered in cuts and bruises, yet when he's on the boat a day or so later he has no marks on him what so ever.
Corrected entry: When Gordon smashes the bat-signal at the end of the movie, it is switched on. Aside from being a highly dangerous thing to do, there is no reason for the signal to be switched on in the first place. The whole point of Gordon smashing the signal is that the cops don't trust Batman, so they wouldn't be signalling for him. And it's not like Batman would answer it, since he already knows the cops are after him. Plus Gordon would probably get electrocuted since he used a metal axe.
Corrected entry: During the scene where the SWAT caravan is taking Harvey Dent to central lockup, the helicopter above changes positions in regards to the truck as they approach. It appears to fly overhead, then hit the wires, crash, and fall in front of them when it should have already been behind them.
Corrected entry: Alfred tells the story of when he was in the Army during the British occupation of Burma. The British left Burma in 1948. Alfred would have to be at least 80 years old for this to be a possibility.
Corrected entry: When Harvey Dent falls into the gasoline, supposedly covering only one side of his face, he is sputtering and spitting and splashing gasoline onto his lips and the "clean" side of his face, yet in the hospital there are no signs of minor burns on the "clean" side of his face at all.
Corrected entry: At the fundraiser for Harvey Dent, as the Joker is intimidating Rachel, he says "You've got a little fight in you. I like that," then we hear Batman say "then you're gonna love me" and he hits the Joker. There's no way he could have got so close to the Joker without being noticed earlier, considering it's a brightly-lit room full of party guests and several of the Joker's henchmen.
Corrected entry: Cillian Murphy appears in the beginning of "The Dark Knight" selling his drugs, but does not seem to be psycho, this doesn't make sense as he was poisoned in "Batman Begins" and his dosage seemed to be more than enough to make him crazy (as evidenced by Rachel's dosage earlier in that scene). He is normal and calm during the deal and isn't crazy or acting out.
Corrected entry: After the hospital explosion, Commissioner Gordon calls in the National Guard. Only the governor can do that.
Corrected entry: When the Joker comes out of the hospital as it is exploding, he gets on a school bus via the back door. If you look closely you can see a stagehand/technician close the door, and is visible sitting up and giving a 'thumbs up' to the driver to inform him that he is able to drive off.