Continuity mistake: When Ramius is shot, he drops to the floor holding his wound with his left hand. He is still using his left hand when Ryan asks "What happens if he makes it to that ignition circuitry". The angle then changes, and Ramius is holding his wound with his right hand as he answers "He can incinerate the ship". New angle change, and Ramius is once again using his left hand on the wound. (01:56:35)
Continuity mistake: During the final battle, Borodin announces "20 seconds to impact". Ramius and Ryan discuss a book Ryan has written for the full 20 seconds, then Borodin updates, saying "10 seconds to impact" despite the torpedo and the sub both remaining on their same courses at the same speeds. (01:58:10)
Continuity mistake: As the helicopter nears the Dallas sub, Ryan is in the right-side doorway at the rear of the opening. A spotter is on the same side of the craft, at the front of the opening. The spotter looks straight out the right side of the chopper and shouts for the pilots to turn left, as he has spotted the Dallas at three o'clock (which is where he is looking). But turning left moves away from the Dallas, not towards it. (01:23:30)
Continuity mistake: When Jack Ryan is being flown, via chopper, to meet up with the USS Dallas, the pilot expresses concern for the fuel situation. First we see this pilot in the right-side seat from a good distance behind his left side as he is talking. When he looks back at Ryan in close-up, the shot is backwards so that he seems to now be in the left seat, looking over his right shoulder (notice his name on the helmet is backwards). Then, after the sub is spotted, he speaks again, and is seen back on the right side, looking over his left shoulder at the left-side co-pilot.
Continuity mistake: When the aircraft crashes on the carrier, the Admiral, Captain and Ryan are in the island (the superstructure on the starboard side). In the next shot, they are looking at the crash from the port side. You can see the island, where they were moments before, in the background.
Continuity mistake: At the end of the movie in the scenes with Connery and Baldwin on the tower of the sub, the light of the moon is obviously shining on their faces but the reflection of the moon stretches out across the water behind them.
Continuity mistake: When chasing the KGB agent, Ryan climbs up a ladder empty handed, but when he rolls over on the walkway he has a gun in his hand.
Continuity mistake: Towards the beginning of the film, when Captain Marko Ramius kills Political Officer Putin, Ramius initially grabs Putin's face and forehead from behind, pulling the political officer off balance and into the edge of the table at which they were just sitting and discussing their orders. In the cut just before Putin slumps to the floor and falls backwards, Ramius' hand is now high on his victim's chest, near the collarbone.giving an extra push. Putin also moves some distance towards the door as he falls backwards onto the deck and dies. (00:18:30 - 00:19:00)