Revealing mistake: When the water is pushing the truck in the aqueduct, one scene shows McClane on top of it. The truck and McClane are a different color indicating they were superimposed into the shot.
Continuity mistake: When they're on the bridge, trying to find a way onto the barge and they first get out of the truck, the skies are very overcast, as shown by the rain on the bridge. When they cut away and cut back to McClane, the sun is now out and very few clouds in the sky. It's fairly obvious that it was shot on different days and the bridge watered down.
Revealing mistake: When they are being chased in the Mercedes, McClane tells Carver to pull the fuse for the anti-lock brakes. When Carver says he won't know which fuse is which, McClane tells him to pull them all. If Carver were to do this, he would cut electrical power to critical functions, such as the fuel pump or ignition system.
Continuity mistake: In the taxi scene were you see the ambulance escort pull onto the road; you see John swing around a corner going very fast, when Zeus says "slow the fuck down McClane". He gets ready to pass a large black car but the next shot (an in car shot) you can see that he never passes the car.
Factual error: A picky, only-a-New-Yorker-would-care point: When Bruce Willis goes down into the subway, it's supposed to be the 1/2/3 lines (West Side trains). The station filmed is actually the 8th Street stop on the N/R (Broadway) lines; it's right by NYU.
Continuity mistake: When they drive through the park and jump off the rock they land on a pile of leaves which covers the hood. Some of those leaves fall off but not all of them - in the next shot the hood is completely clean.
Factual error: When you see McClane and Zeus being chased by the Germans in the pickup truck, you figure they're being chased somewhere around the Henry Hudson Parkway because you see all the trees. After they kill the Germans and McClane is "interviewing" the dead ones, you can see behind Zeus the exit 29 sign for Greenwich/Lake Ave., which is actually located on the Merrit Parkway about 20 to 25 miles away, north of the city. When McClane picks up the quarters again, you can see the exit sign again.
Continuity mistake: There is a scene where Samuel L. Jackson and Bruce Willis are in a crowded park, and they have to defuse a bomb by measuring out water. Before they do that, he picks up a cell phone and calls a bad guy with it. When he is beginning the conversation, the cell phone antenna is down. They change to a different angle, and the antenna is up.
Continuity mistake: When Willis washes the blood off his face after shooting the bad guy in the elevator, the "towel" he wipes his face has no blood on it at all. Even after washing the worst off with the water it would still be full of blood.
Visible crew/equipment: When Zeus and John get the cab after being attacked by the group of dudes in Harlem, as they are riding to the police station you can see the camera truck out the back window of the cab.
Suggested correction: How do you know that's a camera truck? Could be just any regular truck passing by.
There is a camera held out of the passenger side window of the van.
Continuity mistake: When the taxi is driving through the park, the damage to it is constantly changing. Most noticeable is a dent on the driver's front wing.
Revealing mistake: When Bruce Willis is searching the subway cars, take note of the passengers. The same people appear in the two consecutive cars. The actors just made minor changes such as adding/removing hats and glasses. The woman who screams is the most obvious.
Continuity mistake: When Bruce and Sam are driving through the park and jump the concrete ramp out into the street, they land (or drive over) 2 taxi cabs parked there. In the close-up shot of their taxi crushing the front and rear of the other 2 parked ones, you can see that an entire wheel disconnects from one of the parked taxis and begins to fling out into the street with great speed. In the following wide-angle shot of their taxi swerving into the road, that wheel is nowhere to be seen. It should have bounced across the road.
Continuity mistake: When Simon takes the gun off Zeus and switches off the safety catch, he puts it into his right hand. An instant later, from a different angle, Simon shoots him left-handed.
Continuity mistake: In the subway scene, when carrying it before it starts to mix, the door is hanging off on the left side. When it starts to mix, the door is hanging off on the right side. There could be some time that he could rotate it, but with him using his left hand to tell people to move to the front of the car and grabbing the poles, he wouldn't be able to rotate it.
Other mistake: The winch attached to the front of the black pickup isn't particularly big, and its size governs how long the cable can be. From a side shot of the winch cable stretching from the pickup to the boat, there's no way the cable being shown comes from the winch on that truck: it's too long, it would never spool back onto the winch.
Audio problem: During the heist in the Federal Reserve a lot of sounds are missing. For example, when Katya drops her bolt cutters, there is no sound as they hit the ground.
Revealing mistake: When the truck is being pulled off of the bridge by the ship, if you look closely right before the truck plummets towards the water, there is no engine, transmission, or anything else in the engine compartment of the truck, which was left exposed after the hood fell off in an earlier wreck.
Revealing mistake: Right after the explosion, when Simon walks up to a detective and introduces himself as an adjuster for the bank, he asks if the detective can show him the way down. When the detective says yes he calls over an officer Murphy, who is facing the crowd. Murphy is already looking back and begins to walk to the detective before he is even called for.
Revealing mistake: When John is fighting the huge German thug on the boat towards the end, he flips him over his shoulder and on to the steel floor, which slides apart. It is obviously rubber sheets molded and painted to look real. The shot is an overhead shot and only lasts a second.