Part II ends with Dagny struggling to exit the front part of the airplane fuselage when Galt comes to help. Part II, however, starts with her body completely outside the airplane when Galt tries to help.
When John Galt is hooked up to Project F, his neck contact wires are in front of his body, then looped behind his body, and back and forth between scenes.
Vehicles in the strikers' valley all bear vehicle registration plates. Although folks who have abandoned "regulated society" would hardly be paying fees to keep their vehicles registered, it would be unnecessary to remove the plate.
There's a map of the US in the Taggart Railroad center. In the State of Missouri the cities of Springfield and Jefferson City are reversed in geography.
The strikers' hidden valley is said to be in Colorado; however, scenes in the valley contain extensive footage of sequoia forests, which only exist in California. Two shots of cars driving through the famous "fallen sequoia tunnel" clearly indicate the scenes were filmed in Sequoia National Park.