Other mistake: When the first torpedo hits the American ship (killing the two guys hanging on the side) Danny and Rafe jump up from the car. Their cue to do so is somebody (possibly the Director) shouting 'Boom.', which is still audible on the finished film soundtrack. (01:24:25)
Other mistake: When Rafe and Evelyn are on the platform by the side of the Queen Mary, the platform is going up, but the ropes are not moving through the pulleys.
Other mistake: In the scene where the U.S.S. Oklahoma capsizes, she clearly rolls to the port side. When the bow comes into the air, one can see a hole on the starboard side; obviously from a torpedo. This cannot be. The starboard side was facing the U.S.S. Maryland and thus protected from arial torpedoes. That hole should not be there.
Other mistake: When Danny and Rafe are in the dogfight with the Japanese, they are seen flying over the Waiawa Naval Communications Station and its satellite dishes...
Other mistake: Look a bit more closely at the scene in which the USS Oklahoma capsizes, as sailors are falling from the deck, etc. Despite the huge amount of dollars spent the battleship is very out of scale, especially the 14" main battery guns, which look suddenly like props in a high school play. Similar "cheap prop" shots abound in the film.
Other mistake: When the battleship Okalahoma rolls over, it appears to be rolling exactly about a non-moving longitudinal axis, like a broiler chicken on a barbecue spit. In reality, the ship should be sinking down while it rolls over, since after all it is taking on water.
Other mistake: In the scene where the USS Oklahoma is going down sideways, there is water pouring down the deck. This should not happen considering that the ship is sinking the other way and the water wouldn't be bursting out of the cracks in the dock.
Other mistake: Rafe is afraid of getting his wings removed because he has dyslexia (that his teachers couldn't make sense of) and that he has had "some schooling." To be a Lieutenant as Rafe is in the movie he would need a bachelor's degree. Also this mixing up letters didn't appear on all the letters he wrote to Evelyn. Or hindered his ability to read Evelyn's letters.
Other mistake: During take off from the carrier, 600 miles at sea, trees and a shoreline are in the distance.