Continuity mistake: At the very end of the movie, around the time Ed Norton is putting the gun to his face, Brad Pitt throws his cigarette down twice. (02:11:40 - 02:12:35)
Continuity mistake: When the Narrator and Bob are crying together at the support group, Bob is much taller than the Narrator. However, when the two meet in front of Marla's place and Bob tells the Narrator that he is a member of Fight Club, the Narrator is taller than Bob. Edward Norton mentions this on the commentary. He is actually taller than Meat Loaf, but Bob is supposed to be taller than the Narrator. It seems they didn't remember to make him taller in every scene though.
Visible crew/equipment: In the sequence where The Narrator is explaining about Tyler's projectionist job, a boom mike is visible at the upper left hand side of the screen, before Tyler explains about the cigarette burns.
Continuity mistake: In the scene towards the end where The Narrator is trying to break into the building, he smashes the bench into the door and fails to break the glass. He then shoots the glass with the pistol and it jams. The camera cuts to the next shot and the pistol is no longer jammed.
Revealing mistake: Towards the beginning when Edward Norton is ordering out of the catalog, he is walking into his kitchen. Look at his shadow to his left, it doesn't change distances indicating a blue or green screen.
Continuity mistake: In the scene where Brad Pitt is fighting Edward Norton in a garage, he takes off his jacket and he is wearing a shirt under it. Between shots he goes from wearing a shirt to not wearing a shirt and to wearing a shirt again.
Revealing mistake: When the "waiters" leave the restaurant after assaulting the old police man you can see that Meat Loaf's pants fall down revealing the wrinkled fat suit he is wearing underneath.
Continuity mistake: After Bob is shot in the head, we see his corpse with half his head missing, but before that we see a flashback of him getting shot, and it just looks like he was shot in the back, no blood or flesh exits his head.
Visible crew/equipment: Tyler and the narrator are walking to the house for the first time. This shot tracks along the road. The camera track can be seen on the road (metal pipes), and the camera stops where you'd expect the end of the track to be.
Continuity mistake: At the end of the film, when Ed and Brad are fighting in the parking garage, as Brad punches and throws Ed around like a rag doll, Ed's face goes back and forth between being caked in blood and being clean from shot to shot.
Suggested correction: His face goes back and forth between being clean and bloody, because he is imagining the fight.
I'd disagree with this correction. The fact that he's throwing himself around in the scene, as seen through the security camera footage, implies that he's also hitting himself in the way's he imagines Tyler is. Unless he's pulling his punches, which I doubt, he would still have the bloodied face.