Continuity mistake: In most of the scenes it is quite evident that Jessica has only a thin green dress on; when she meets Box she takes it off and she is nude. Later when she is outside of the dome and walking through the woods, she ducks to avoid some brush and she now has underwear on.
Continuity mistake: When Logan and Jessica arrive at the ice cave, they are wet, so they take off their clothes and wrap themselves in animal skin to get warm. Jessica gets naked and Logan takes off his shirt but not his pants. But when they sit down we can see he is not wearing any pants.
Continuity mistake: When Jenny Agutter panics after a lizard crawls up her skirt, her clothes are very dirty but in the next scene, her clothes are clean. (01:12:42)
Visible crew/equipment: When Logan and Jenny Agutter meet the shiny robot in his ice lair, you can see the reflection of the film crew many times on the shiny body of the robot. (01:07:00)
Continuity mistake: When Logan 5 and Jessica 6 surface back into the city, it can be seen that there is no crystal on either Logan or Jessica's left hands. (01:46:55)
Continuity mistake: When Logan 5 and Jessica 6 are escaping from the city, Jessica's hair is wet before she passes besides the flowing water tanks.
Revealing mistake: When Francis emerges from the cave, he stands in the foreground, with the distant mountains and sun in the background. The sun creates a lens flare, which is an internal reflection within the camera lens. Yet Francis is in front of the flare. This shows that the actor was composited with the background via a traveling matte process.
Revealing mistake: In the carousel scene, when the contestants are starting to float into the air, you can see the cables attached to the contestants that are lifting them up. (00:08:58)
Visible crew/equipment: Near the beginning when Logan and his friend come up the escalator, you can see the reflection of the film crew on the mirror behind them. (00:05:04)
Continuity mistake: When Logan and Jessica finally escape from the robot's ice lair to the outside world, they see the sun rising from the horizon. The sun rises far above the horizon but a few shots later, the sun has gone back down near the horizon. (01:11:34)
Revealing mistake: When the camera is in a close up on Box's face, you can see the actor's mouth inside the mask.
Continuity mistake: At the end of the film, when everyone is gathering around the old man, there are several close up shots of him. In one of them, a woman in pink starts walking up behind him, near the right side of the screen. In the next shot, the camera shows a faraway view of the old man and where the woman was standing, but she is gone.
Revealing mistake: When Logan shoots at the first runner, his two shots hits the ground in front of the runner but you can see the setup on the ground that explodes and creates sparks. (00:11:36)
Continuity mistake: In the scene where Francis looks at his palm and sees the crystal is clear, he jumps off the balcony towards Logan but you can tell from the jump angle, he will not make contact with Logan, being some 3 feet from the landing point. In the next shot, Francis lands right in front of Logan. (01:30:40)
Continuity mistake: When Logan and Francis chase the first Runner around and up the balconies inside The Great Hall, it seems as though the chase starts on the ground floor and only goes up one floor. But, when Francis shoots the Runner, he falls from about seven floors up, a long, protracted fall.
Other mistake: In the first carousel one of the female contestants is obviously pregnant. But in the film babies aren't born from a mother but through artificial means.
Suggested correction: I just watched the scene on YouTube and didn't see anyone who was "obviously pregnant." Who are you referring to?
Revealing mistake: When the dome city starts to blow up, people are running around in a panic. One man in a red outfit jumps off a balcony to the next floor and you can see a modern (1970s) lit exit sign over a doorway behind him. Many of the interior shots for the dome city were filmed in a large shopping mall; that sign must have been missed when they were trying to make it look like the year 2274.
Continuity mistake: As Logan walks up the steps with Jessica, the cut in his shirt and his hair part are on the right side, whereas they are supposed to be on the left.
Continuity mistake: In the scene at the end with the old man, his fire is burning well but suddenly is almost burned out when the people come down to see him.
Plot hole: In one of the late scenes Logan is interrogated by the mainframe computer, and is guarded by two other sandmen. No one in the city is allowed to be over thirty years of age, yet the guards are at least in their late 30s or early 40s.
Suggested correction: How do we know how old they are? Just because someone may look like they're in their 40s doesn't mean they are. I have several friends and coworkers who look older than their actual age.
I also thought the guards looked old. Yes, maybe they were 29 but since they had a minimal role, it wouldn't have been difficult to go with actors that actually looked like they were in their 20s.