Continuity mistake: In the beginning, when Anderton arrests the jealous husband, he notes that he is being arrested on April 22 - that day - for the future murder of his wife and her lover. Later, while Anderton is jogging, we see billboards advocating a "Yes" vote on pre-crime on April 22. The next day, Anderton's boss Lamar notes that the vote is in a week, which would make it April 15, making the day that the jealous husband was arrested April 14, not April 22. (00:13:05 - 00:15:15)
Plot hole: Anderton's wife gains entry into the jailhouse using her husband's eyeball - but he's already locked up inside, so his eye would not still have access to enter as it pleased. Any place anywhere that would have any sort of security system requiring anything from a simple passcode to a card key to a retinal scan, would immediately delete the user in such instances from all rights. And would also certainly report on any attempted use of such (retinal scan, pass code, whatever). (02:00:45)
Factual error: The time period of the movie is 2054. There is an election day (April 22nd) that is on a billboard and then announced as a Tuesday. However, April 22nd, 2054 is actually on a Wednesday.
Continuity mistake: In the part when Anderton is in the green house with the old lady, her hairstyle changes under her hat in every scene when she turns around, looks up or down or when they are talking. (00:54:40)
Factual error: When Anderton jumps on the back of the jet packed cop, the thrust can sizzle burgers a foot away, but nothing happens to Anderton's jacket or shoes or anything. Even if he is hanging onto him on the side, he's still close enough. And how come the cops themselves don't get scorched by their own pack? I can believe them using asbestos pants in the uniform, but not Anderton's civvies. (00:47:55)
Continuity mistake: Anderton's wristwatch is an Omega Speedmaster X-33, but it shows a Bvlgari display when he looks at it for the countdown to the murder he is to commit. When he's not looking at it, the watch can be seen with its original Omega face. One example of this is in the tub scene where one of the spyders is peeling off Anderton's eye bandage. The watch shows its Omega display (white hands on an LCD digital background). Omega's developer of the X-33 told me that this was a major legal battle for them. (01:18:30 - 01:34:50)
Continuity mistake: When Anderton first starts getting chased, he kicks the glass out of the back side of the automated car. He then proceeds to climb on the top of it at which point the car then goes over a cliff leaving Anderton hanging from it. He then climbs onto the back side of the car (as this is not the top) and the glass is present again.
Visible crew/equipment: When Anderton visits his wife after the auto plant scene, the camera pans around the car and the camera operator is clearly seen in the reflection on the bumper. (01:57:05)
Visible crew/equipment: When Lamar shoots Witwer it shows the the bullet's point of entry. Looking closely at his shirt, you can see the outline of the square/rectangular blood pack. (01:48:50)
Plot hole: When Witwer invites Burgess over to discuss the problem of Anne Lively's murder, he gives Burgess Anderton's gun saying "We recovered that from Leo Crowe's hotel room", yet making no mention of why he is showing the gun. It makes no sense why he would bring the gun or give the gun to Burgess seeing as he would have to remove it from the evidence of the murder. There was no important evidence regarding the gun he would need to show Burgess and only seems to serve the plot (as Burgess uses the gun to kill Witwer at the end and the blame goes on Anderton). What complicates the matter further is that Witwer knows someone in the Pre-crime division was behind Anne Lively's murder, so to give a person who could very likely be involved in the murder a loaded gun seems a little risky and unnecessary. (01:45:50)
Continuity mistake: When Anderton visits his friend to get help to download data from Agatha, he is wearing tan-colored pants. Later on, when they are running again, he is suddenly wearing blue pants. (01:33:15)
Plot hole: It's good to know that in the future we will be able to simply walk inside a car factory (without anybody working, neither employees, security people, or an automated protection system), get inside a brand new car and just drive away...
Other mistake: Leo Crow grabs Anderton's gun and they each fight for control of it. Crow succeeds in forcing Anderton's hand to pull the trigger, killing Crow. The problem is, right after the gun is fired, we see a shot of Anderton with his arm fully extended and with his entire hand holding the entire gun, as if he had aimed and fired the gun himself. Such a sequence of events is at least totally illogical if not physically impossible. (01:44:10)
Continuity mistake: In the final scene of the movie, as the camera pulls back from the cabin where the three pre-cogs were taken after leaving the Temple, there is a tractor to the left of the cabin. Between the tractor and the cabin is a small bush that is moving like it is being blown by a strong wind. However, the smoke coming from the cabin is more or less rising straight up into the air. In fact, it is drifting a little to the right while the bush is being blown to the left by the helicopter which has the camera. (02:18:25)
Plot hole: Burgess frames Anderton for Witwer's murder, using Anderton's gun in Anderton's house, but Anderton has an airtight alibi; at the same time as the murder, he was arriving at his ex-wife's home. His ex is even on the phone with Burgess, who asks if that's John arriving with Agatha.
Suggested correction: This is all a matter of trust and knowledge. At this point the precogs aren't available so they don't know who killed Witwer, the word of Burgess is enough for the precrime team to believe it was Anderton, especially considering everything that was going on. All the precrime team wants is get Anderton and put the halo on him. There is no trial, no interrogation of witnesses. The team simply don't see Anderton can't have killed Witwer and they don't care as they no longer act as real cops anymore (only Witwer did). They might find out later, but Anderton's escape changed that possibility anyway. It's not a plot hole that things went as they went.
Continuity mistake: In the alley scene where the rest of John's team comes, he keeps repeating "everybody runs" and they surround him. After a dog barks at them he climbs up a fire escape. In one shot you can see the back of his jacket is cut and wires are sticking out. It's a very quick shot but it's there. (00:47:10)
Continuity mistake: Anderton is driving Agatha aka the Pre Cog in his car after kidnapping her from the Temple. She is complaining that she is cold so he takes off his jacket and puts it on her shoulder and body. The next shot is from outside the window looking at her and the jacket is down on her arm. The next shot is back to Anderton and the jacket is on her shoulder again. In the final shot of the Precog, the jacket is on her shoulder. (01:24:20)
Continuity mistake: During the jet pack escape scene, we see Anderton scaling the side of a building followed by a group of precrime officers who fly up to catch him. When Anderton jumps and catches the officer directly below him, we cut a shot of the pair falling directly towards the camera. If you look to either side of them, you'll notice that all the other officers - including the one hanging from the rail without a jet-pack - have disappeared.
Continuity mistake: The handle on the door to room 1009 switches sides. (01:36:15)
Continuity mistake: When Agatha is in Lara's bedroom, she talks about John and Lara's son Shawn. When John is sitting on the floor in the bedroom you can see his eyes have changed colors. First they are brown from the eye transplant, but the next shot of his head you can see his eye color is his real color. (02:00:00)
Suggested correction: I thought that this was a mistake as soon as I saw it on screen, but reconsidered. It's perfectly possible that there was some, probably human caused, delay in updating the security system. After all, there wasn't a rush to do it since they already had the chief on ice. Maybe the sleep jail was still on a legacy system without automatic updating. Just assuming that in the near future that all systems are all perfectly integrated and instantaneous does not validate this as a mistake.