Revealing mistake: During the fight between Marcus and Casper, the fishtank breaks with the slightest tap of Martin Lawrence's foot, if any. (01:07:50)
Continuity mistake: The kegs of ether in the truck have hazardous material labels applied to them. These are diamond shaped labels that indicate the class of material in the container. Throughout the chase scene they alternate between Flammable Liquid labels (solid red) and Flammable Solid labels (half red, half white). (01:10:45)
Revealing mistake: As the Camaro explodes on the bridge, a piece of it notably flies off. You can see it fall down a cable attached to it. (01:12:20)
Continuity mistake: During the argument with the crazy and possibly murderous shopkeeper, there's a cut to Julie saying he's got "a cannon." He then shouts, "What do you want?" pointing said cannon towards where Martin Lawrence would be, but then in the reverse shot, it's pointed at Will Smith. Also, when they get him by surprise, their guns are in frame coming from the side, but they were standing in front of him in the rest of the scene. (01:16:00)
Continuity mistake: When Martin Lawrence is in bed with Tea Leoni and a dog and brings up the disturbing image of him "coming with thunder," she suddenly has her hands on her own chest in contrast with the previous shot. (01:17:40)
Continuity mistake: Marcus falls on a big pile of trash after he unsuccessfully tried to infiltrate his own home. The garbage bins fall with their lids facing outwards, towards the street. Mike and Theresa lean from the window, and an overhead shot of the garbage mess is shown. By any basic rule of cinematography and film logic, that is their POV, what they see. However, they "see" the trash cans facing towards them, towards the house. (01:21:25)
Plot hole: Marg Helgenberger's investigation reveals that the mole has called Club Hell from the precinct. However, if you look at the scene, the villains are not expecting them (Casper spots them practically by accident and asks out loud what the cop is doing there; Noah looks incredulous), and they are even having their ether traffic in the open at the club front. Note that technically it does not say that a call was made before the blitz, but considering the mole knew about it first-hand, it's unfathomable they wouldn't tip them off. (01:23:15)
Continuity mistake: When Jojo is complaining about the guard dogs being lazy and overfed, the bracelet on his wrist turns between cuts. (01:24:20)
Audio problem: We hear Mike cock his two guns a variety of times in a row during the scene when he is threatening Jojo and Marcus. (01:25:25)
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Continuity mistake: When Julie takes the key for the handcuffs from the cupboard at Mike Lowrey's apartment, she puts it down her right side. When she unlocks herself at the end in the car, she takes it from her left side. (01:26:40 - 01:39:35)
Continuity mistake: When Marcus's sons yell to call their mom, in the first shot she is holding sunflowers, keeping them straight, stem fully vertical. In the next shot, it's at an angle. (01:29:40)
Continuity mistake: Marcus opens a locker inside Mike's house and fetches two boxes of ammo from it. Look at his body when he is about to close it; he reveals the content of the locker, with a pair of handcuffs shining in the darkness of the bottom shelf. When Julie looks inside to get her handcuff keys, the handcuffs themselves are in a different part of the locker. (01:30:00)
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Continuity mistake: During the shoot-out in the lobby of Mike's apartment building, Chet calls 911 to report the event. In the first shot of him he is holding two dogs and in the next shot he is only holding one dog. (01:34:33)
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Revealing mistake: In the mad taxi sequence, there is a shot of the taxi with sparks shooting out. If you look closely you can see the device that made the sparks. (01:37:00)
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Continuity mistake: Just as Mike saves Marcus from being hit by the taxi, there is a blue bumper attached / missing / attached / missing from the taxi. (01:37:05)
Continuity mistake: The taxi leaves the scene with a left turn. You can see it is missing the front hubcap on that side, but it was in its place just moments before; no further crashing happened. (01:37:25)
Suggested correction: The taxi's front left hubcap does not suddenly go "missing" between two shots. The reckless taxi hits the median island (sparks in this shot), hits three metal trash cans, and slams into a car. It's quite plausible to accept that, due to these jarring impacts, even though no further crashing happened the left hubcap has already been jostled loose; so during Martin Lawrence and Will Smith's iconic close-up shot, there is sufficient time for that hubcap to fall off while the taxi is off-screen.
I never said it was from consecutive shots, just that there were no other collisions. It didn't look loose in the slightest after all the collisions you mentioned. The last time we see it on screen, it is actually hidden by a fender that is not supposed to be there because of another mistake already reported, so we could say that is part of that other mistake, if anything.
Even though "there were no other collisions" that occurred, within the scene it's a reasonable possibility the hubcap could have been loosened by all the impacts from moments before. And the problem with stating "it didn't look loose in the slightest" after all the collisions is that a loosened hubcap can sometimes be completely unnoticeable visually while the vehicle is in motion. The hubcap could have fallen off as the taxi is driving away, while off-screen (blue fender shot notwithstanding).
Continuity mistake: When Marcus and Mike are chasing the bad guys who have Julie, the sun changes between shots - while the bad guys are getting away in the cab, in the background you can see it's sunset, but in he next shot the sun is shining back again. (01:37:25)
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Revealing mistake: When the computer is being hacked and the password and/or code for the database is shown on the screen, most of the display is for an Autodesk printer driver. (01:39:00)
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Continuity mistake: Mike and Marcus go to meet Sanchez and Ruiz on the steps, Sanchez is sat down holding a doughnut (or something) in his right hand and a coffee in his left. A few seconds later, when talking about bongos, there's a close up shot and the items change hands. Back to a wide shot when Mike and Marcus enter they switch back. (01:41:30)
Continuity mistake: After the truck smashes through the drug deal location, there's a brief intermission with Julie trying to open her cuffs, saying "Go, go, go," and then Sanchez fires at a bad guy on the scaffolds, killing him. A few seconds of hectic action pass, Julie detonates the barrels, and Marcus looks up and shoots another villain on the scaffolds. As he falls, you can see another one close by; it's the same guy who died earlier. (01:44:50 - 01:45:25)