Continuity mistake: You have to look really close, but while they are dancing, when the alarms go off, Sandra Bullock is wearing hose. Later, when they are running around the ship, she has taken them off. Then towards the end, wear she is under water, with her hands tied together, she is wearing pantyhose again.
Continuity mistake: When Annie is being taken hostage at the end, Alex jumps down onto the stern door but misses and lands in the water. He is then shown hanging onto the stern door's edge. Since the edge is about 10 feet over the water's surface, he must be a pretty good athlete to jump and grab hold of it.
Continuity mistake: On the bridge the speed is shown going down fairly fast. The camera shows it going down from 17.8kts to 17.3kts. Geiger is then made aware of the deceleration and opens up his PC. The speed is still decreasing but is only at 17.1kts when he first looks. The speed is still going down at the same rate so should be well past 17.1kts on Geiger's screen.