
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)

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)

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)
Continuity mistake: When Casper gets on the plane, he starts shooting at Marcus from the airplane door. To the left of the door, there are two windows with tin foil taped over; the airplane is obviously in storage. The taping disappears when he fires again a couple of shots later. (01:46:30)
Continuity mistake: In the final car chase - in the close-ups - we see Marcus turning the steering wheel quite far from side to side. With the speed they are going that would make the car slalom severely - and probably go out of control. At that speed only very small movements of the steering wheel are necessary (and safe). (01:50:00)

Visible crew/equipment: At the end of the car chase scene between the Porsche and the AC Cobra on the runway, a shadow of the camera as well as the boom can be seen just as the Porsche drives between the concrete blocks. This can be seen at normal speed but is best viewed in slow motion. (01:50:25)

Other mistake: At the very end of the movie Mike has the bad guy down on the ground and he's got his gun in the guys face, we see a shot looking straight up the gun barrel with Smith's eyes over the top of it. If you look at the barrel of the weapon there is a little point of light at the back of the barrel. This is caused by sunlight shining through the firing pin hole in the back of the chamber showing that the gun has no round in the chamber. (01:51:20)
Continuity mistake: After Fouchet is hit, he still manages to crawl a bit on the tarmac, his head well away from the painted part in the overhead shot. When Marcus taunts his "punk a$$," the close-up on Tcheky Karyo shows him against the white painted asphalt. (01:51:54)
Continuity mistake: Fouchet dies with a dramatic close-up of Tcheky Karyo tilting his head to the left as he draws his last breath. Then an overhead shot just shows him facing up. (01:53:10)
Continuity mistake: After Mike has killed the bad guy at the end, the distance of the bad guy's hand from the gun changes instantly. (01:53:10)
Plot hole: Why was $100,000,000 worth of heroin sitting in the police vault all this time before the bad guys stole it? Wouldn't the DEA have taken possession of the drugs long before that?
Continuity mistake: When Marcus Burnett drops Julie Mott off at Mike Lowery's apartment it's dark outside. When he leaves shortly after, there is daylight outside.
Audio problem: When the bad guys attack the main girl's house, one is heard to be pumping his shotgun between shots. The gun is a SPAS-12, and the pump-action is only used when firing non-lethal rounds; otherwise it fires semi-automatically.
Visible crew/equipment: When Marcus is driving and Mike is saying that he is driving slow enough to drive Miss Daisy, when the camera is facing them from the driver's side you can see where the camera is attached to the driver's door. [This may only be in the full frame version. In the wide-screen version, the frame doesn't show any of the door, just the top of the wing mirror.]
Other mistake: In the film, Lawrence and Smith's characters are Narcotics detectives with Miami Dade Police. There's no way they should be at any homicide investigations. Narc and homicide are totally two different units within law enforcement, so it's unlikely narcotics units would be at a homicide scene. Being the scene where they're investigating Smith's friend getting killed, and then they stumble across the dead body at the mansion.
Suggested correction: The captain called Mike and Marcus to the scene to help because it appeared related to the missing drugs. They were there to find leads to the missing heroin.
Yes, that could be correct, but the chances of that happening are slim to none. A captain from Narcotics wouldn't even have authorization to call his detectives to a murder scene to help out homicide detectives working a murder. Any information or clues would be collected and shared with other units or agencies if deemed appropriate.
Factual error: There is absolutely no way that Internal Affairs would have any authority or power to shut down an entire police force because of stolen drugs. As in the plot of the film, that type of decision would be decided by the city council on a vote and approved by the mayor. In any case, an extensive investigation would take place and the culprits would be arrested and prosecuted. No police force would be disbanded because of this absolutely fictional scenario.
Plot hole: The movie would have been over in barely over half an hour if the detectives could access the file of Eddie Dominguez. It contained the revelation of who the mole was, which unlocks by itself access to the villain at the end of the movie. It's never explained (nor justified) in the movie why this file would be so secret and out of reach for the Bad Boys, other than to keep the plot going.