@MLClark The one that stood out in my mind was the scene of the Gemini 8 launch. It shows Armstrong and Scott walking across the access arm to their capsule while an Atlas launches in the background. That would never happen!
Even worse, they were using the LC-39A gantry with the VAB in the background, while in reality they were at LC-19 which was way smaller and nowhere near the VAB. Harrumph. (2/2)