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 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 Mike and Marcus are driving in Marcus's car, just before they sing Bad Boys, in the shot over Mike's shoulder we see that what he is saying does not match the movement of his mouth. (00:22:40)
Suggested correction: But Will Smith is not speaking in that shot. Martin Lawrence is saying something corny ("I'm a baaad boy") that is the cue for the song. Smith is just mouthing under his breath.
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.
Other mistake: Near the end of the movie, Martin Lawrence and Will Smith are in a Porsche catching the bad guy. The whole time Martin Lawrence is driving, BOTH hands are on the steering wheel. Now most of us know that Porsches have a manual transmission, so shouldn't Martin Lawrence be switching gears during the chase?
Suggested correction: Hopefully someone else can confirm, but it appears that from around 1995 onwards some Porsche models came with an optional 'tiptronic' automatic transmission.
It was Michael Bay's own personal car used in the movie, a manual transmission model. But even if we do not use "outside" knowledge, we see the gear stick in the movie at the very beginning when Martin Lawrence spills fries all over it. So no, despite what the correction says, it's not an automatic version.
Continuity mistake: At the beginning of the film when Martin Lawrence is in bed with his wife, he wakes up on the left side of the bed and leans over turn the alarm off. The next shot he's on the right side of the bed and the alarm has moved to the right side too, he's reaching over to turn it off. (00:09:30)
Other mistake: In the scene where Mike returns to his apartment for the first time since Julie was living there, as they walk towards the elevator Chet says "Hey Mr Lowrey" to Mike then says "Hey Mr Lowrey" to Marcus although Marcus never told him that he was taking Mike's identity. (00:59:45)
Suggested correction: It's not in real time. They could have been back on a different occasion; we just aren't shown it.