Visible crew/equipment: At the end when the helicopter is hovering above the two guys fighting, we see the shadow of the camera on them multiple times.
Other mistake: The watch that the poor man's Q of this movie provided is supposed to buy 10 seconds of time ("1 second stretched to 10, single use", that activates when he presses the wheel), but the power works in a completely different way, since in those "10 seconds" Deth takes his time to assess the situation and watch bullets float, then grabs Helen Hunt, stare his mortal enemy down without doing a thing to him and then carries her from the back parking lot of the store to the car parked in the front. Not even Husain Bolt (at most Dio Brando, with a very similar time-freeze gimmick) would be able to do that, not to mention that flying bullets somehow are slower than liquor pouring from a bottle.
Character mistake: Morgan Hiller's father is named Stewart (according to the story as well as credits). But in one scene when Morgan and his parents are having dinner, Mrs. Hiller calls him (her husband) "David" one time (instead of Stewart).
Continuity mistake: When Howe goes to check Jordan, her eyes are open. After the cut to Vinnie, they're closed.
Character mistake: When David Frost interviews the fictional actor Bryan Martin, he adds a last question to the interview saying "before you go" and acts as if the guest is not gonna stay (as it often happens in talk shows, when some guests, especially the more famous ones, leave after their bit is over). However Martin is staying and in fact there is a special mystery guest a bit later that makes sense only if he is in fact staying. (00:02:00)
Continuity mistake: The judge arrives and tells the audience that they can sit down. The guy on the left with a white linen shirt sits and crosses his left leg. Reverse shot, and he is repeating the action, this time crossing his right. (00:03:20)
Continuity mistake: When Gun is having lunch with the Sensei, Gun picks up a bowl of noodles as well as two chopsticks. At first, the two chopsticks are facing outwards. But in the next shot, the two chopsticks are facing inwards toward the bowl. (00:03:53)