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)
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, the left hubcap is 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 it's driving away, while off-screen (blue fender shot notwithstanding).
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.
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.