Factual error: While flying across the U.S. before the Atlantic attempt Stewart lands and exits the plane. While doing a quick inspection of the airframe he approaches the engine and puts his hand on one of the radial engines cylinders which would have still been several hundred degrees, so should have resulted in a serious burn.
Factual error: The visual of St. John's, Newfoundland shows a modern high-voltage power line across the hillside which probably didn't exist in 1927. Also WW2 American Air Force base Fort Pepperell is visible in the background. It wasn't constructed until 1941. (00:46:45)
Factual error: Before Lindbergh takes off a woman gives him a small mirror to use to read his compass in his plane. After he takes off the woman is seen on a train going home. In the window behind her you can see the Pulaski Skyway. Lindbergh took off in 1927 but the construction of the Pulaski Skyway didn't start until 1930.
Factual error: In the film, Lindbergh is trying to get some sleep the night before the flight. But in fact he was up partying with friends most of the night.