Corrected entry: Batman enters the Riddler's throne room through a small hole in the floor, and it closes after he enters. Then the Riddler introduces Chase and Robin, and two holes like the one before appear under each tube. Nygma says Batman can't save them both. BUT, when Batman jumps to save them both, half the floor has disappeared! Why are Chase and Robin's holes connected, if the Riddler planned not to let Batman save them both? And where did the big big hole came from? It can't be due to the explosions - it's a nice neat line all the way around. The Riddler hasn't pressed the button on his cane yet either.
Corrected entry: Near the end of the movie, the Riddler gives Batman two choices; he can save the woman he loves, or he can save his partner. You can clearly see that both of them have tape over their mouths. Batman saves the doctor, and peels the tape away from her face. Then the camera cuts to Robin, and he has no tape over his mouth. If Batman didn't save him yet, and Robin's hands are tied, where did the tape go?
Corrected entry: Early on in the film, Bruce Wayne descends to the Batcave in a pod that travels at a very high speed (the display projected onto his face proves this), and the journey takes about 10 seconds, whereas later on the Cave can be reached by way of a short flight of steps (Dick Grayson falls down them). That must have been a very long route taken by the pod.
Corrected entry: After Batman rescues Chase and Robin when they were falling down the tube, they are very close to the bottom and Two-Face is suddenly seen standing on the railing that fell and broke earlier. How did Two-Face manage to get all the way down there? The tube is easily several hundreds of feet long.
Corrected entry: When the Riddler and Two Face sit down to play Battleship with the Bat-Boat and Bat-Plane, how did they know two ships would be coming? Robin did not exist until Batman was about to leave to rescue Chase, so technically the game shouldn't exist and the two villains should only be expecting Batman.