Plot hole: When The Penguin is controlling the Batmobile, Batman punches through the floor to take off the transmitter. We still see a video feed of The Penguin. Why? Batman pulled off the transmitter, so there is no reason for there to still be a video feed.
Suggested correction: We see the Red Triangle gang spends a while fiddling with the Batmobile's workings before installing the transmitter. It's likely they made multiple 'modifications', thus the transmitter was for controlling the car's engine and steering, and the video feed was made possible by another, separate means.
Suggested correction: I concur with the other correction. There are multiple shots showing the gang working on the car and doing other things to it beyond just putting on the transmitter. (You see them playing with wires, moving parts around, etc.) Hacking into the computer/video-feed so Oswald could taunt Batman is likely among the other things they are doing. There's nothing into the movie that suggests taking off the transmitter should (or even could) interrupt the video-feed. The fact that Batman has to punch the screen to get rid of the Penguin's image is another point to the fact that the transmitter itself had nothing to do with the video feed.
Plot hole: One alien egg is shown hanging from the wall at the start of this film, yet there's no way it can be there. The queen didn't take any with her from LV426 in 'Aliens', and if she did, she had no opportunity to place them on the Sulaco between exiting the dropship's landing gear, engaging Ripley and being killed.
Plot hole: When Rane and the other terrorists come out the bottom of the plane and start walking towards the fairgrounds, it is amazing how not one police officer or staff member of the airport notices that they came out from under the plane, or that they don't seem to be walking off the plane like the other passengers.
Plot hole: The rule is Each buries his own as stated in the first movie. So Gus wouldn't have came back to life because he was buried by Drew and Jeff.
Plot hole: Just after Snyder escapes the FBI sting, he is yelling at Brown about the FBI cop being Sam Douglas. If Snyder knew the guy standing outside the car is his former partner's son-in-law, why did he continue with the business transaction as though he had never before seen and/or met Sam Douglas?
Plot hole: The cops are waiting for the robbers to arrive at the hideout after the robbery so they can bust Joe, and most certainly, they would have put surveillance on the warehouse. So why don't they intervene when Mr. Orange is presumably seen wounded outside of the hideout, or especially when a kidnapped cop is brought inside the warehouse? Cops aren't going to waste any time whatsoever letting one of their own be put in mortal danger, even over serious business.
Plot hole: At the gas station exploding scene, we see van Damme and the reporter getting in the car and drive off. Just after van Damme and the reporter drive off, we see Lundren get up from the rear seats to try to strangle van Damme. Why would Lundren be there when firstly, they had no idea van Damme took the chip out of his leg, and secondly, after realising they had been set up, they had n idea where van Damme or the reporter would be at that stage. (00:51:54 - 00:52:30)
Suggested correction: He saw the vehicle they drove away from the motel in earlier. Once the building blew up and they knew it was a setup, waiting in their vehicle is a completely logical move. Them not noticing a 6'5 240lb man in the back is a lot more bizarre.
Plot hole: The Frying Dragon team wins the Breaking, Weapons, and Men's Fighting competitions, as well as coming in second place in the Women's Kata, yet they are still only tied for the lead in the end?