Continuity mistake: When the family move to Alaska, the door to their cabin opens to the left (looking at it from the inside) when Homer escapes from Bart and Lisa's "avalanche". But later in the film it opens to the right (from the inside). (00:46:25 - 00:52:05)
Continuity mistake: The door to Homer's cabin in Alaska changes positions, from facing the street when he comes home from the bar to facing over a cliff when he decides to follow Marge and the kids back to Springfield. (00:46:25 - 00:52:45)
Continuity mistake: In Alaska, when Homer is holding the wood logs, the amount of logs changes from three to four between shots. (00:48:00)
Continuity mistake: Barney runs head first into the dome and slides down horizontally. Next shot he is stood up and is shoulder barging the dome. (00:48:10)
Continuity mistake: When Homer is forced into the house by Bart and Lisa's avalanche, it is broad daylight, but seconds later he is with Marge in the bedroom and it is dark outside. It is not snow surrounding the house, because the animals come in through the windows. (00:48:30)
Continuity mistake: The second time Russ Cargill spreads out the five options on the President's desk, the name bar with 'President Schwarzenegger' on it vanishes and reappears on the desk twice. The spread of the files also inverts between shots. (00:50:40)
Continuity mistake: Homer leaves Eski-Moe's with nothing in his hand. Then he grabs onto the back of a truck with still nothing in his hand. Homer lets go of the truck and zooms to the house and there's still nothing in his hand. But when he opens the door, there's suddenly a bouquet of flowers in his hand. (00:51:55)
Continuity mistake: At the start of the scene with the medicine woman, Homer is under a blanket. In the first shot, his entire body is under a fur blanket. But in the next shot of Homer, his arms are suddenly out of the fur blanket. (00:55:30)
Continuity mistake: When Homer returns to Springfield, there is full security around the Dome. However, when the bomb explodes there is no sign of any security whatsoever. (01:00:00 - 01:10:25)
Plot hole: There are two cars driving behind the EPA truck containing Marge, Bart, Lisa and Maggie. When Homer uses the bulldozer to try and break the family out of the truck, the two cars behind the truck don't notice the bulldozer trying to destroy the truck. There's no way they couldn't have not seen the bulldozer since they were just behind it. (01:00:05 - 01:00:40)
Continuity mistake: When Homer is on the wrecking ball, he hits a fork on one side but in the next shot it vanishes. (01:01:00)
Continuity mistake: When Homer is dressed as General Marriot Suites he's wearing white gloves but after he punches the guard the gloves have vanished. (01:03:30)
Other mistake: Homer puts superglue on his hands and gets his hand stuck to his groin. He then uses his second hand with superglue on to get his hand off but that hand doesn't get stuck. (01:04:10)
Continuity mistake: After being held in the EPA truck, when Marge and the kids wake up at the Town Square - the remains of the courthouse with its lion statues are behind them. The buildings to the left of the courthouse change in following shots, such as while Cletus distracts Cargill, or when Homer's on the motorcycle and grabs the cowboy hat. (01:04:30)
Continuity mistake: When "Emperor" Moe appears in front of Marge, after she and the kids return, the two cartridge belts swung over Moe's shoulders switch from his left over the right, to his right over the left. (01:04:50)
Continuity mistake: When Homer is climbing the dome, there is a shot of the rope. No-one is climbing it, yet a few seconds before people were climbing the rope. (01:05:10)
Suggested correction: They didn't climb high enough to be visible. Homer was much higher than they were.
Continuity mistake: In the scene where everyone is climbing the rope to get on the top of the dome, Homer should already be at the top, but when the camera points to the top of the dome, he does not appear there. The next scene shows him back at the top of the dome again. (01:05:15)
Other mistake: On the close-up shot of the "Doomsday Clock" with "Sponsored by TIMEX" underneath, the clock is counting up from 1:33 to 1:34, rather than down. (01:08:05)
Continuity mistake: When Homer kicks over the bomb, Comic Book Guy is seen seen behind him, with Carl, Cletus, and Krusty. In the next shot, Comic Book Guy is gone (appearing a few shots later at his comic book shop), and Barney is there instead. (01:08:45)