Continuity mistake: When the racist cops are frisking J, one pulls out J's gun and questions him about it. In the reverse angles, the cop is holding the gun over J's shoulder with almost all the handle in his hand. In the shots showing J's face, the cop is holding the handle so that some of it is sticking down, and it is in front of J's shoulder. (00:41:00)
Continuity mistake: When the cops are frisking J, the small cop on the left's left hand keeps changing position in every shot, with no logic whatsoever. (00:41:00)
Continuity mistake: After being pulled over by the racist cops, J insults them and they pull him out to frisk him. As they have him bent over the car, one of them pulls out his gun and says "what's this, a concealed weapon". In the shot from behind J turns his head to the left to look at the gun. It cuts to a view of J's face as he says "Hey, it's his grandmother's suit." J is instantly looking straight forward. (00:41:05)
Continuity mistake: When Boris is questioning Roman The Fabulist about where the Arcanan is, Roman has a cigarette in the corner of his mouth. When Boris takes off Roman's hat, the cigarette has moved to the center of his mouth. (00:42:05)
Continuity mistake: When Boris kills Roman the Fabulist, the spike he shot at his head is located to be just an inch or two above his eyebrows. When J finds the body a few moments later, the spike is suddenly much further up his head than it was a few moments ago. The spike has also shifted an inch to the left. (00:42:15)
Continuity mistake: When young K starts questioning J, K's hands swap between crossed, loose, one on top of the other with no continuity whatsoever. (00:43:35)
Continuity mistake: As K is questioning J in the past at the MiB headquarters, there is a green alien behind J talking on the phone. In the close up of J as he's telling K to turn the power down on his tazer, and he can't feel his tongue, the MiB agent behind J is seen taking the phone from the alien and hanging it up. It cuts to K saying "How do you know my name?" then back to J in a shot further away. The green alien is seen handing the phone to the MiB agent again to be hung up. (00:43:35)
Continuity mistake: When J is in his lying fest at the 60's MiB headquarters, he starts calling two guys that walk past him "K." The first one walking by has a clipboard he is working on. He walks totally past J, and then another guy with nothing in his hands begins walking by and is almost passed J. Then the camera cuts to a close up of J, and the second guy passing him suddenly has stuff in his hand he is working on. (00:43:45)
Continuity mistake: At the headquarters, when young K places the neuralyzer and gun on the table their position changes between shots. (00:44:00)
Continuity mistake: At the 1960s HQs, K places his hand on a notebook. A shot later it has jumped next to a typewriter. (00:44:40)
Continuity mistake: In the scene where J is being questioned by K, O walks up to to K, who picks up a cup of coffee and starts drinking it. The handle is directly in front of K on the opposite end of the cup in the first shot, but in the next shot, the handle is suddenly on the other side. (00:44:50)
Continuity mistake: As J is being put in the "big ass neuralyzer", they first have him in front of it strapped in a metal bracket. As they begin turning him upside down, the white suit guy on the right reaches over and begins opening the hatch on the neuralyzer. You see him turn the handle and hear the creak and see it slowly crack open for a moment before the shot cuts. Then two shots later as the white suit on the left is about to put the bite guard in J's mouth, the hatch is suddenly closed and the guy on the right is reaching over to open it again. (00:46:10)
Continuity mistake: This movie starts in 2012 as shown on Zed's memorial, then travels back to 1969, 43 years earlier. But J tells the young K "25 years from now you're going to recruit me, and 14 years after that, the guy you didn't let me kill today..." That's only 39 years. (00:47:55)
Continuity mistake: When J is in the car with young K, about to head for the bowling alley, the way J holds the matchbox changes between shots. (00:49:55)
Continuity mistake: When J and K are driving to Cosmic Lanes, they drive past the exact same white truck three times. (00:50:10)
Continuity mistake: When J drags Warhol backstage, the people they pass-by have no continuity between the front and back shots. Note the tall transvestite with bulky hair they bump into first, who, a shot later, appears several meters ahead. (00:55:45)
Continuity mistake: When J and K are talking to Agent W backstage, as Agent W says "You're out of your mind...", he is looking straight forward at K, head remaining still. Next shot, he is looking at K with his head is suddenly shifted to the left. (00:56:05)
Continuity mistake: When Griffin is telling J that his buddy might give him antacids for his gastric distress, there is a small group of people behind him. One of them is wearing a picnic cloth style dress with red and white squares as the pattern. She walks away to the left of the screen, but then it cuts to a close up of Griffin as he says "But that depends" and she is suddenly right behind him. (00:58:50)
Continuity mistake: When J peeks out The Factory window the broken glass around the frame change amount and shape between shots. (01:01:25)
Continuity mistake: When J chases Boris in 1960s New York he exits The Factory and runs on the sidewalk past a black car and a lamppost. A frame later, the car is gone and he's running on the pavement, on the space left, to allow him to step on the green car. (01:01:30)
Chosen answer: The gold saucer crashed in middle of the street was the ship Boris stole to get to earth. While they are in the restaurant Kay gets a call that tells him a ship was taken from lunar max and it was Boris who took it.