Continuity mistake: In the scene when Lex is testing the kryptonite at the basement of the mansion, after the power outage, he is standing directly in front of a square yellow sign. Cut to a wider shot, and he has moved left and Kitty is now in front of the sign. Cut again and Lex is back in his first position. (00:32:15)
Continuity mistake: When Superman picks Kitty up from the car to take her to the hospital, her white skirt is way above her knees, revealing the top of her stockings. Superman's hands are on her stockings. When he starts to fly up, the skirt now covers her knees, with his hands on the fabric. (01:00:10)
Continuity mistake: Before Clark's spaceship crashes, Ma Kent washes a mug and places it upside down. On the next shot the mug is the other way up.
Continuity mistake: After Superman enters the plane, Lois' badge keeps turning around between shots.
Revealing mistake: At the baseball field, when Clark is holding the plane's nose he is replaced by an obvious CGI figure with zero facial expression.
Continuity mistake: During the robbery, the machine gun's ammunition belt is on the weapon's left side. In one brief shot, it's on the right. This shot is flipped. (00:55:35)
Factual error: The shuttle attachment to the plane is wrong - the shuttle undercarriage would not be part of the fixtures. Not only that, when we see the undercarriage raise into the shuttle there are no wheels, so the shuttle would not be able to land upon its return, also the the undercarriage poles change shape before and after release.
Other mistake: In the scene where Kitty's car (a 1966 Ford Mustang) goes out of control, the horn sounds when she presses the center of the steering wheel. The horn buttons on those cars were at 3, 6 & 9 o'clock at the edges of the steering wheel. (00:57:40)
Other mistake: The Kryptonian crystals need water to start growing. Towards the end of the film, when Lex puts a crystal into the Kryptonite cylinder, it immediately starts to grow and crystallize into the Kryptonite without any water.
Continuity mistake: Near the beginning, in the Kents' house, we see 2 cooking books next to the breadbox and radio. In the next shot of it, there's now 3 books, a yellow one between the cookbooks and breadbox. In the final shot, the yellow book is now on the other side of the cookbooks.
Continuity mistake: During the plane crash, the plane goes into a vertical dive and the seats break loose and squash up against each other. When Superman gives the final push at the baseball ground the seats squash up again, and when the plane levels out and Superman boards the plane, the seats and passengers are back in place as if it never happened.
Continuity mistake: In the plane, after Superman says that planes are safe, the man next to Lois raises his arm way up high, but a frame later, from an angle behind, he is barely raising the tip of his hand.
Continuity mistake: A tube and oxygen mask suddenly appear over the seat in front of Lois after Superman enters the plane.
Continuity mistake: Clark's dog leaves a baseball on the ground and walks until being parallel to Clark's both legs. A frame later the dog is two meters behind, next to Clark's left knee.
Continuity mistake: The writings on the note Lois faxes to the Daily Planet (with the coordinates) change from when she writes it to when Jimmy sees it through his camera. For example, the 'N' is much smaller and the 'P' is fatter in the faxed version. (01:31:45)
Other mistake: The spaceship used by Kal El is very small for a 5 year trip - he'd need to eat something in that time too!
Suggested correction: Since we know nothing about Kryptonian technology, we can only speculate how or if supplies are stored.
Other mistake: There should be blood around Kal El's wound on his back because of the kryptonite but there isn't any.
Other mistake: There is no room for the super suit and the cape beneath Clark's clothes.
Other mistake: After Superman lands the plane he flies towards the door but casts no shadow, either on the ground or on the plane.
Continuity mistake: When Lois and Clark exit the building and she scolds him for leaving, the passers by don't match between one shot and the other.