If you have a trained eye you can see Darth Vader's ship and R2D2 from Star Wars, and several other bits of Spielberg-Lucas memorabilia. See more...
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Factual error: When Barry first appears in the middle of the road, you can see the constellation Orion in the upper right of the scene. From mid-northern latitudes, Orion is visible in the evening from October to early January and in the morning from late July to November. The scene looks like a summer evening and if it was the morning Orion would not be that high in the sky.
Factual error: Early in the movie there's a scene that takes place at the FAA air traffic control center. As the film's other scenes are set in Muncie, Indiana, this ATC center is presumably (and correctly) in Indianapolis, yet, after the UFOs nearly collide with the TWA and Air East flights, the controllers are talking about "restricted area 2508". The "real" R-2508 is actually out in California/Nevada.
Other: In the climactic scene at the end of the movie when the alien mothership flies over Devil's Tower and the base, there is a shot of the mothership's shadow creeping along the ground, enveloping the shadows of the crew there. It's a dramatic shot, but since the mothership was not between the ground and the light source (the stadium lights of the base) it should not be blocking out the light, or creating a shadow.
Factual error: Parts of the scene where the brightly lit alien mothership passes directly over Devil's Tower are shot with the camera looking almost directly up, as would be the view from the people below. In these scenes, Devil's Tower remains totally dark despite having this huge light source directly above. The mothership is so huge that a shadow cannot explain this darkness.