Other mistake: When Sully gets on the plane, his jacket / coat fall off the luggage he is pulling. Even the flight attendants do not realised what happened. (00:27:28)
Other mistake: When the movie flashes back to the plane taking off from LaGuardia, the attitude indicator (artificial horizon) shows level flight. After the landing gear is raised, it correctly shows the plane in a climb.
Other mistake: During the F-4 emergency flashback, Nellis Tower has cleared them to land on Runway 21, however the runway is marked 22. (00:40:57 - 00:42:05)