Continuity mistake: Right at the beginning of the fight between Morpheus and the Agent on top of the semi-truck, the Agent sends Morpheus sliding to the side of the trailor. In the first shot, Morpheus' left leg is over the edge, but in the next shot, his whole body is on the trailor and he has to turn to get close to the side.
Continuity mistake: In the burly brawl, Neo gets tossed into a brick wall and gets dirt and concrete dust on his back. When he lands on the ground his back is suddenly clean.
Continuity mistake: In the corridor of many doors where Neo fights all the Smiths the two furthest Smiths draw their guns twice.
Continuity mistake: When Neo is fighting the three agents, the glass of the streetlamp falls. When he flies off, the glass on the ground disappears. In the next shot, it reappears when the Agent Smiths are walking on it.
Continuity mistake: When the Merovingian's henchmen are shooting at Neo, a shot is shown from the side to show everyone firing their weapons. The man on the far left (the closest) makes the arm movements to indicate that his weapon is firing continuously, but his gun is only seen firing once.
Continuity mistake: In the car chase scene, just before they go onto the freeway, the twins fire a machine gun at them and make quite prominent dents on the top of the car. However, in the scenes that follow, the bullet holes are not there. This is most obvious when you see the car from the top and the black car next to it crashes into a barrier. They come back when an agent lands on the top of the car and rips it off.
Continuity mistake: Right before the Twin enters Trinity's car, he shoots a black car in front of them and then continues firing on Trinity and Morpheus. However, when the car is seen flipping in slow-motion, you can see bullets hit on the hood of Trinity's car up to the windshield and then instantaneously go to the roof.
Continuity mistake: The tire on the front wheel of Trinity's Ducati 996 changes from slick to treaded a couple of times between shots.
Continuity mistake: In the scene where Neo meets the Oracle, when Neo and Seraph are in the corridor with all the back doors, the small piece of wall around the door is white. However, when Seraph opens the door so that he and the Oracle can go through it, the borders of the door opposite to the open one are green.
Continuity mistake: The door which is held open by one of the Twins gets splattered with blood on the inside when Trinity shoots at his arm. However, when Neo later runs towards the door before bashing it in, the splatter is gone.
Continuity mistake: When the 2 cops are being morphed into at the beginning of the highway scene, the driver is looking to his right while being morphed, but in the immediate shot, he is looking to his left, there isn't enough time in between shots for him to look the other way.
Continuity mistake: When the Tahoe is getting hit and crashed it loses its passenger mirror. When the Tahoe is hit by the other drivers the mirror is back on.
Continuity mistake: In the scene right before the freeway scene, in the city streets, the Escalade EXT rams a brown BMW 7-series in the purwuit of the Silver CTS. The BMW rips in half, but there's not a scratch on the EXT. Later in the freeway scene, you see a headlight blown out, and a katana sword can rip it, whereas a car smash causes no damage.
Continuity mistake: On the highway, while Trinity jumps from the trailer on the motorbike, the sun changes between shots.
Continuity mistake: In the freeway chase, Agent Johnson jumps from an overpass onto the top of the truck carrying Morpheus and the Keymaker. Just before the truck goes beneath the overpass, a freeway distances sign (Whipple Ave ½, Woodside Rd 1-½, Marsh Road 3-¾) is briefly visible. As the truck emerges on the other side, the same sign appears again, behind Johnson, to the right.
Continuity mistake: In the freeway chase scene, look carefully at the Ducati carrier truck. After the truck's driver's body is taken over by one of the Agents and the camera shows the outside of the truck, you can see that it is a completely different truck, carrying a red shipping container instead of the motorbikes.
Continuity mistake: When Neo is talking to the Oracle, in the close up shots of her, her temple is resting on her fist. On the shot behind, her fist is on her cheek.
Continuity mistake: During the highway chase, just before one of the twins ghosts into Trinity's car, during the shot with the flipping car, the traffic behind Trinity's car is missing.
Answer: This was made just for the trailers. The same part (without the Matrix code) can be seen when Smith says "suprised to see me?" to which Neo replies "No." and puts on his sunglasses before the Burly Brawl.