Continuity mistake: When Jack sets up the motorbike, he pivots the two bars forward and locks them to form the handlebars. A few shots later as Jack looks down at the sensor, you can see one solid handlebar, all the way across. (00:13:45 - 00:14:25)
Continuity mistake: Near the end of the film, Jack helps Julia into the stasis module, and the bombs are visible by her feet. If she was switched to another module, so that the bombs were still inside but she remained on Earth, she would have woken up in the process.
Suggested correction: There's no evidence that she would have woken up. We don't have enough information about the statis process or its effects on the person once the pod is open to determine if she would have woken up during this time.
Suggested correction: My question is, where is this new stasis module from? It's a 60 year old special equipment on a spaceship to Titan. For that reason it is unlikely that these stasis modules are numerous on earth and in the hand of the scavengers. All other populated pods are destroyed by the drones. May be there are two more empty stasis modules for Jack and Vika on the jettisoned space vehicle? OK, that could be.
Continuity mistake: After he discovers the beacon for Drone 172 was a trap, Jack takes off and leaps back over the gap he came from moments before. The camera angle behind him as he is about to hit the other side shows his arms down as he is bracing for the impact. But it cuts to in front of him and instantly Jack's arms are up in the air. He is not moving them up as the shot cuts. (00:18:40)
Continuity mistake: After Sergeant Sykes shoots Jack, Jack falls to the ground and you see the bullet roll off his protective vest and lay on the floor. Moments later when they pick Jack up, the bullet has vanished off the floor. (00:58:50 - 00:59:40)
Continuity mistake: Near the start, Vicky is online with Sally when her hair, on the right side, near her forehead, continually has a break in it that comes and goes over and over, without her touching it.
Continuity mistake: Just after Jack reads the quote from the Lays of Ancient Rome book, Victoria walks half way down the staircase and says "Jack." During this shot, Victoria is visible to the left of screen with her right hand placed on the banister and the rest of her arm bent downwards in a 6 o'clock direction. Yet in an instant close-up of Victoria, her right arm is now stretched in a 9 o'clock direction. (00:22:35)
Continuity mistake: The wound on Jack's nose is notably smaller in the scene where he and Julia are on the observation tower and when he says "How can a man die better?" compared to all other scenes.
Continuity mistake: A burn mark is left on Jack's Tech 49 suit after Sykes shoots him. The burn mark disappears by the time Jack and Julia arrive at the Empire State Building. (00:59:00 - 01:02:30)
Continuity mistake: The first time we see Julia's stasis pod number is through the gun scope and back at the tower shortly afterwards, and it is numbered 06. But in the flashback late in the movie after he says "dream of us" to her before launching that module, the pull back shows him leaving pod 04 (we can't really see the number, but the other pod numbers from left to right are 05 and 06 as he leaves that module, so 06 definitely isn't launched). (00:39:40 - 01:49:05)
Continuity mistake: As Jack attempts to escape the abandoned library, he attaches himself to the cable which sends him shooting up. The cable snaps off and Jack falls back into the library. As this happens, there is a rope attached to his gun. But the rope vanishes by the time it falls into the pit a few seconds later. (00:19:10)
Continuity mistake: When Julia is eating soup, the colour of the soup keeps changing, from a dark yellow to a light yellow.
Continuity mistake: Just after Drone 109 disconnects itself from the garage, the scene cuts back to Julia watching Jack and Victoria's argument. In the first shot, she is standing next to the ship with her shoulder partially behind the ship door and her head resting on the door frame. But in the next shot, we can see Julia to the left of screen with her shoulder now out of the ship's door and her head no longer resting on the door frame, standing a few inches further away from the door. (01:09:55)
Continuity mistake: When Jack pulls out his motorbike, his Tech 49 suit is completely clean. When he stops the bike around a minute later, his suit is completely dirty despite just riding. (00:13:55 - 00:14:45)
Continuity mistake: When Jack brings Julia to Tower 49, she is in Sleep Pod 06. When the Odyssey playback is shown, she is in Sleep Pod 8. (00:40:41 - 01:45:49)
Continuity mistake: During the chase with Jack and Julia, the glass door on Julia's side gets cracked by one of the drones. At the end when Jack shoots the drone, just before they eject you get a good look at the glass door next to Julia and it is undamaged in anyway.
Continuity mistake: When Jack is riding his motorbike past the deserted ships, there is a huge trail made on the ground. This trail continues to be made as he rides. But as soon as he drives over a hill and stops his bike, there is no visible trail in the background, only the ships are visible. (00:14:20)