Corrected entry: Dr. Aki Ross has her "first" dream in the beginning; later on, when the General is shown her "first" dream by a soldier, it looks different to when she originally recorded it. Not quality wise, but perspective wise. Some people have said they're different dreams, but look at the time she records the dream we see in the beginning and what the Soldier and the General sees with the time-stamps. Same times, hence a continuity mistake on the part of the makers of the film.
Corrected entry: When the Zeus is overheating and explodes, there's some obviously added-in explosion noises. But there's no sound in space, no matter how big the explosion.
Corrected entry: Right after Aki saves the Captain during the beginning portion of the film, she turns around to take the canister containing the plant from what seems like a table from that angle, but as it moves away to a long shot of the room, one can clearly see there isn't a table anywhere near.