Continuity mistake: When one of the stormtroopers unties Han Solo before he is put into the carbonite, watch his wardrobe - he has a disappearing / reappearing jacket on. This is fixed to an extent on the DVD - the jacket is now lightened to almost match his shirt, but it's still shiny like leather. (01:32:05)
Suggested correction: It just looks like a jacket because it's a shadow.
Revealing mistake: When Richard first wakes up after travelling through time, he's supposed to be lying on a couch. Yet there is a wall behind him. It's blatantly obvious that it's the same shot from the modern bedroom, and all they did was change the lighting. (00:33:45)
Visible crew/equipment: In "Whenever You're Away From Me", Kira and Danny dance by a mirror, where you can see the cameraman. (00:32:10)
Visible crew/equipment: When Superman is fighting Non under the New York Streets (in the sewers), manhole covers start to jet up in the sky. When the first manhole cover shoots up you can quite clearly see the gas tube in the hole and the gas cylinder attached to the cover.
Continuity mistake: While Father Malone is drinking his wine you can still see the cork laying on the table. He finally gets up to try to catch Bennett before he leaves and the cork has mysteriously put itself back into the bottle. (00:05:00 - 00:05:45)