Continuity mistake: As Riggs exits the car, he takes the cigarette out of his mouth. The camera angle chages to show him standing outside the car, handling his pistol, and the cigarette is back in his mouth, with no time to put it there and the audio indicates the shots are consecutive time. (00:45:20)
Continuity mistake: When Murtaugh is about to find the envelope with the porno tape he takes a can of beer from the fridge and opens it. When he is sitting down, the same can of beer is opened again audibly. (00:49:25)
Continuity mistake: Just as his wife is about to smack Murtaugh's butt at the oven, a small ladder is at the right, angled to face Murtaugh's position. As the shot changes to get a bit closer, the ladder is suddenly more parallel with the cabinetry. (00:50:25)
Continuity mistake: While working out the case at the shooting range, Murtaugh only fires one shot, and Riggs fires 9 (offscreen shots during their continuous conversation are noticeably quieter, from other shooters). When they reel in the targets, Murtaugh's target has 6 holes, and Riggs' has 14 or 15. (00:52:00)
Continuity mistake: At the shooting range, just after saying "That's very thin", Riggs has his arms outstretched, semi-aiming his gun. Cut to a two-shot, and he's got his arms into his body. (00:52:55)
Continuity mistake: When Murtaugh clips on another target it's crumpled at the side. When it comes back after he has shot, it's clipped on straight. (00:55:00)
Continuity mistake: The kids in front of Dixie's house change positions between shots when they shout after Riggs and Murtaugh, like the one with the baseball cap who sits up. Furthermore, this little guy can't help glimpsing at the camera for a second. (00:55:40)
Continuity mistake: When Riggs and Murtaugh walk toward Dixie's house before it blows up, they're wearing large clear glasses, almost like the safety glasses they were wearing at the firing range. After the house blows up they aren't wearing them anymore or even seen taking them off. (00:56:20)
Continuity mistake: The lawn in front of Dixie's house turns completely into naked dry soil at the end of the scene, even at places where it should not be really affected by the extinguishing operations. (00:57:25)
Continuity mistake: When Hunsaker's shot, his eggnog gets all over his tie and shirt. When the camera angle cuts to Murtaugh's reaction, Hunsaker's shirt and tie are clean and there is no eggnog pouring from the container. Also there is no hole of any kind in the glass door behind him in which the bullet made. (01:04:00)
Suggested correction: You can see the eggnog on his shirt and tie. As Murtaugh is kneeling next to Hunsacker it is very visible.
Continuity mistake: Just before Hunsaker's shot, he's standing right in front of the window. When it cuts to a wider shot, he's suddenly a foot or two further left. (01:04:00)
Continuity mistake: When Riggs sees the car with Mr. Joshua coming he pushes the hooker away and starts running, but when he is shot at it looks as if he was standing with his back to a shop window. Accordingly, his bullet-proof vest has holes in the front, but then his red jacket has only holes in the back. (01:05:50 - 01:07:15)
Continuity mistake: During the drive-by shooting it's raining heavily. When Riggs and Murtaugh leave the scene by car the streets are dry, but when they arrive at Murtaugh's house they are wet again. (01:08:10)
Continuity mistake: When Riggs and Murtaugh kick Murtaugh's front door open they must have damaged the lock, but when the door falls closed the lock sounds as if it is perfectly OK. (01:09:15)
Continuity mistake: When Murtaugh starts questioning Alfred about the suspicious man he saw near Dixie's house, Alfred lifts up his sunglasses. Through a few questions, the glasses' ear stem rests normally behind his ear where it should (left one is visible). Suddenly Murtaugh asks about the man's hair color, but now the ear stem is hanging off. (01:09:40)
Continuity mistake: When Murtaugh drops Riggs off in the desert it's sunset, but when we see the car in the next shot the sun is way up again. (01:12:55)
Continuity mistake: As Murtaugh is interviewing Hunsacker, Riggs waits outside on the grass. At one point, the area Riggs is standing still in changes from full sun to full shadow in seconds. (01:13:15)
Continuity mistake: When Murtaugh meets the General's people in the desert the door of his car gets blown open by the helicopter. When he pulls out the grenade the door is almost closed again. (01:16:10)
Continuity mistake: When Riggs is talking to Mr. Joshua before the electrical shock treatment starts, every time the camera shows a side shot the water is covering his head and face, but every time the camera angle changes to the front he is completely dry and the water is in the background nowhere near him. (01:20:20)
Continuity mistake: In the scene where they bring Murtaugh's daughter and her arms are bound, when she puts her arms over her dad's head her watch is on her right wrist. After they hang her arms over the pipe her watch is now on her left wrist. (01:28:05)