Continuity: After the submarine is hit by the first missile, all the crew are picking up things that have fallen down in the underwater turbulence. Then when the captain returns to his personal cabin, all his belongings (most noticeably on his desk) are all in position as though the attack never happened.
Great sites
Mistakes
During the part of the movie where the USS Alabama is sinking deeper into the ocean a shot of the depth gauge was made showing the sub passing 1800 feet at a quick rate. About 20-30 seconds of shots were shown after this to further dramatize the peril of submarine and then the scene cut back to the depth gauge. This time however, the gauge was moving much slower and only shown the sub had sunk 15-20 more feet without any reason for the sudden slowdown in decent. See more...
Trivia
I just saw the movie Crash Dive 2 (which is also about submarines and also involves an enemy Akula-class sub) and it has many recycled scenes from Crimson Tide. To name a few: the scene where the sub does a "snap shot" of two torpedoes, the scene of the Akula being hit, and the scene where a torpedo barely misses the heroes' sub. See more...
Crimson Tide (1995)
Directed by Tony Scott, starring Denzel Washington, Gene Hackman, Viggo Mortensen (add more)
Crimson Tide mistakes
Factual error: When the Captain (Gene Hackman) is getting ready to address the crew, the Chief of the Boat (an enlisted man) is briefly shown barking orders to the crew wearing a combination cover with an officer's golden chin strap. A Chief Petty Officer wears a black chin strap. Contrary to popular belief, it's not illegal to wear an accurate uniform on film, in fact the military offer their help to ensure uniforms are accurate: http://www.defenselink.mil/news/NewsArticle.aspx?ID=516, so that's not the reason.
Factual error: At one point, the US sub's starboard (right) side is shown to have an American flag painted on the hull near the bow. The flag's blue field is at top/left when on this side of any vehicle, it should be at top/right. Proper display of the flag requires the blue field always be located 'forward' of the remainder of the flag on all vehicles, be they plane, boat, tank or even space shuttle.
Crimson Tide trivia
Quentin Tarantino did uncredited script work on this film.
In the beginning of the movie, where it shows a rather scenic footage of the sub about to dive, the exact shot was also used in G.I. Jane. Note that Crimson Tide was directed by Tony Scott and GI Jane by brother Ridley. A bit of sibling teamwork?
I just saw the movie Crash Dive 2 (which is also about submarines and also involves an enemy Akula-class sub) and it has many recycled scenes from Crimson Tide. To name a few: the scene where the sub does a "snap shot" of two torpedoes, the scene of the Akula being hit, and the scene where a torpedo barely misses the heroes' sub.