Factual error: In the flight deck scenes, one of the engine parameters displayed is "EPR." This applies only to A320s with IAE V2500 engines. The "Miracle on the Hudson" A320 had CFM56 engines, so the parameter should have read "N1."
Factual error: When the A320 taxies out from LaGuardia there is a Continental airlines jet with scimitar winglets. These were not on commercial aircraft in 2009.
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.
Factual error: When Tom Hanks is running through Times Square you can see the sign for the musical Aladdin which opened on Broadway in 2013. This movie is set in 2009.
Factual error: A (white) iPhone 3GS is shown after passengers are rescued by the American Red Cross, but that iPhone model was only presented during the summer of 2009, whereas the landing on the Hudson happened in January. The iPhone 3GS was the first iPhone also available in white.
Factual error: When Sully decides to land in the Hudson River, the aircraft is approaching the George Washington Bridge the Ground Proximity Warning System advises to the pilots "Obstacle, Obstacle." This is correct; however, after the aircraft clears the bridge, the system then announces "Clear of conflict." This is incorrect, because the GPWS doesn't advise when clear of terrain. The Traffic Collision Avoidance System advises when clear of conflicts, which is only between aircraft.
Factual error: When Sully approaches the airport vendor for a sandwich we see a souvenir orange New York license plate reading "Times Sq." New York didn't introduce the new orange plates until April 2010.
Factual error: In a scene where Sully is walking through down town NYC in between yellow cabs, one of the cabs is a 2015 Toyota, but the movie is set in 2009.
Factual error: The Space Shuttle Pavilion on the Intrepid is visible in the movie. Enterprise was only transported to the Intrepid in 2012.