Continuity mistake: When Roy starts throwing plants in the window, the glass gets smashed. Then they open it. When Roy closes the window after he climbs in, it is no longer smashed.
Continuity mistake: The film starts in Muncie Indiana. There is a scene in the hills near the town. There are NO hills near Muncie, it's flat as a board. (00:24:30)
Continuity mistake: During the scene at the landing site the number of people on the landing pad varies dramatically from shot to shot.
Continuity mistake: When Richard Dreyfus has his first UFO encounter at the railway crossing, all the gauges in his truck go wild and the contents of the glove box comes flying out. After the encounter finishes, and the vehicle's power comes back, Dreyfus starts the engine and drives off. Miraculously, the interior of the truck has tidied itself and restored the glove box contents to their proper place. (00:21:30)
Continuity mistake: When Roy first encounters the alien ship at the railroad crossing, when the bright light comes on, he leans out of the truck window, and the right side of his face is exposed to the light. Therefore, it is the right side of his face that should have been burned. Subsequent shots show that the left side of his face is burned. (00:21:00)
Continuity mistake: In the alien departure scene at the very end of the film, a solitary alien exits the mothership and approaches Francois Truffaut, who extends his right hand directly towards the alien and makes the Five Tones hand gesture. The camera cuts to another angle half-way through the gesture, and we see that Truffaut is now looking sharply to his right, over his extended arm, and smiling broadly at the alien as he completes the hand gesture. Apparently, Truffaut's body and extended arm pivoted 90° away from the alien mid-way through the 2-second gesture.