Other mistake: When Spider-Man tries to punch the Green Goblin before he says "impressive", the Goblin blocks his punch. However, the punch would not have hit the Goblin even if he hadn't blocked it. There's nothing to suggest the Goblin moved at all, so why would Spidey punch through mid-air when he's trying to hit the Goblin? (01:08:20)
Revealing mistake: After Spider-Man rescues MJ from the collapsing balcony we see a close-up where MJ is smiling over his shoulder. Pay close attention to Spider-Man here. He is a mannequin. (01:10:05)
Continuity mistake: When we see Norman Osborn testing out the formula with the other doctor, Norman comes back to life and grabs the other doctor, in the first shot from the front when he grabs him, his fingers and knuckles are straight against the doctors neck, yet from the back we see now its more of a fist. (00:16:50)
Continuity mistake: In the film Norman Osborn is talking to the board of the company where they announce they are selling the company. In one shot if you look on the table most of the folders that the board are holding are open. In the following shot most of them are closed. (01:00:30)
Revealing mistake: When Norman awakes and throws his assistant into the equipment, you can see it is the assistant's stuntman, as when he is thrown, he has black hair, and the real assistant has brownish-grayish hair. (00:17:40)
Continuity mistake: At the end of the film when we see MJ hugging Peter, in one shot you can see she moves her hand to his neck and close to his ear, yet from the front view, her hand is still on his back. (01:47:20)
Continuity mistake: When Spider-Man is fighting the thugs that attacked Mary Jane, at one point he lifts a thug in the air and they are in the middle of the street. After it cuts to Mary Jane, now Spider-Man is holding the thug in the air with one foot on the curb. (01:17:05)
Audio problem: When Goblin is on the bridge with Mary Jane and the cable car, Spider-Man screams, "Don't do it Goblin!" but there is clearly no mouth movement whatsoever under the mask. (01:42:05)
Continuity mistake: In the fight with Flash Thompson (in school, his first fight), when Peter grabs his hand, first he is grabbing him by his watch, then a little bit lower in a different shot, in the next shot by his watch again. (00:23:40)
Continuity mistake: There's a purple tent below and to the right of where MJ is trapped on the breaking ledge. When the Goblin is kicked off of his glider by Spider-Man, he falls to MJ's left but lands in the tent on the right. (01:07:45)
Continuity mistake: While Peter is talking to Mr Jameson in his office around the middle of the film, he picks up the phone and calls in one of his assistants. When he suddenly appears at the door he moves the phone away from his ear twice. (01:11:25)
Continuity mistake: When the owners of Oscorp are asking Osborn questions, just after he says "back to formula," his position in the room changes within a second. (00:11:30)
Factual error: During the bridge scene, when the Green Goblin first holds Mary Jane by her throat, his left thumb is visible. All further shots show no thumb under Mary Jane's chin. Actually, the left hand then seems to be holding Mary Jane by her right shoulder. Even when Mary Jane, who is not a super-human, is held by her throat, she is able to move her head, look down and scream. (01:41:21)
Continuity mistake: At the Unity Festival, when the Green Goblin flies past on the glider, the camera cuts to a shot of the balcony, and behind Harry and MJ there is a man in a black suit that takes a picture (you can see the flash from the camera). But when the camera cuts to a close up, the camera that was in his right hand has vanished and is now a glass of wine. (01:03:40)
Continuity mistake: When Norman Osborn finds out he is the green goblin from his mirror reflection, watch closely at his hair in the reflection and the real him, his hair in his reflection has a thick strand of hair hanging over his fringe, and the actual him, has his hair without any parts hanging over his fringe. It changes about three quarters of the way through the scene. (01:13:35)
Continuity mistake: After Uncle Ben dies and Peter takes off down the alleyway there is an obvious cut to a green screen. His hair was flowing in the air, then becomes suddenly flat with no wind passing. (00:42:50)
Continuity mistake: Close to the end of the film when the Green Goblin bursts in the window of Aunt May's house, in one shot you can see she is leaning by the side of the bed, and in all other shots she has her head on the bed. (01:27:05)
Factual error: In the scene where Peter is clinging to the ceiling of his room with Normand Osborne looking for him, a drop of Peter's blood falls to the floor. It should simply splatter outward, but we see it "splash" upwards as if it was a bucket of blood hitting water. (01:26:35)
Revealing mistake: At the end of the movie, when Peter is placing Dr. Osborn on the couch after he died, as Peter is lowering him, Dr. Osborn's hand changes from being stiff to the hand moving to help being put down. While it's possible it was a natural reflex, I don't think that they are able to help lower themselves with their own hand. Dr. Osborn had been dead for a while anyway. (01:49:50)
Factual error: When Spider-Man is hanging under the bridge holding the cable car and the Goblin charges at him the final time, he gets hit on the head by a gas can presumably thrown by one of the motorists watching from the bridge. However, for the can to have hit when and where it did, it would have had to curve out and around a four foot railing and some ten feet of concrete and steel before making its way underneath the bridge and some distance in to strike the Goblin. Not only was this an incredible curve ball that was precisely aimed at a target not directly visible by the person who threw it, but it still managed to impact with enough force to knock the Goblin off course. (01:44:27)
Answer: Remember that Green Goblin (Norman Osborne) just found out that Peter Parker is Spider-Man. Aunt May's comment about everyone knows he loves Mary-Jane concerns him because he now realizes that Green Goblin might find/kidnap Mary-Jane just to lure Spider-Man into a fight. This is the basis for the whole reason he can't be with her, as he would be potentially putting her in harm's way all the time if they got together.
Jazetopher