Factual error: When Clark speaks to Jor-El for the first time in the Fortress, Jor-El says "I will have been dead for many thousands of your years..." Fine in theory - Baby Kal-El travelled to Earth at above light speed so time passed differently for him. However, as such, wouldn't Jor-El have seen Earth as it was thousands of years ago? Which also makes there a problem with all the things Kal-El was taught during his voyage to Earth, as Jor-El references Einstein by name, for instance, and he would not have existed at the point when Jor-El sent him to Earth.
Visible crew/equipment: There's a scene in which someone goes into a phone booth to make a call. As the phone booth door closes you can see a reflection of the cameraman.
Continuity mistake: The dressing that is on the evil Dr Leticia Baines's forehead keeps changing. When she is first placed on Grogan's raft, the dressing is soaked with blood. In the next few scenes it just has a small patch of blood in the centre. After she swims to rescue the boy from his canoe, she gets on the raft and the dressing is dry. In the next two close-up shots the dressing is wet (with water) and then it is dry again.
Suggested correction: While the description of the events and the mistake is accurate, it wasn't Dr. Baines that swims out to save the boy. It was Dr. Hoak. You're thinking of the 1995 remake of the film.
Revealing mistake: When Katharine Ross pronounces the child dead in the hospital, she pulls a blanket over the child. The kid moves and flutters his eyes.
Continuity mistake: When Gillian escapes from the facility, Hester runs out the door after her and collides with the guard coming from the opposite direction. For a second, they rebound in opposite directions, then it cuts and she falls on top of him (the same direction).
Continuity mistake: When Jake and Link are watching TV Jake is lying on top of the settee. Link says hi to Jake and the camera switches from Link to Frank. In the next shot Frank sits down and Jake is gone. He had no time to move.
Visible crew/equipment: When Gene is on top of the coaster at the amusement park, you can see a cameraman below filming.
Continuity mistake: When Tony and Tia are being driven to their hotel, the same footage is shown behind them a few times e.g. A truck turning off the road when their driver shouts at an overtaking driver and a few minutes later when he shouts at the same driver again.
Revealing mistake: When the neo-nazis burst into Kohler's apartment, they stab him and he slides down with his back against the wall. While Mengele picks up the phone, you can see the 'dead' Kohler blink in the background.
Continuity mistake: When Stella is put into the machine to revive her after being frozen, her head is tilted to the right when she goes in, but is tilted to the left when the shot changes.