I remember going to a movie as a kid in the early-mid 80s that had the '83 Jeopardy! pilot in a scene. Unfortunately, I don't remember what the movie was. I've run across it a couple of times as an adult, but even then it was a forgettable movie other than having the '83 Jeopardy! pilot in it. The Googles have been no help so far.
You might be thinking of the NBC made-for-TV movie Special Bulletin (the one in which Charleston, S.C., -- um, that would be spoilers). It's right in the first minute, at 0:42 in this very high-quality copy that I didn't know existed until I just searched:
Also, if you look very carefully at the game board, one of the categories is "Air Shuttle Disasters," which suggests someone grabbed a prop from "Airplane II: The Sequel" (which featured a J! spoof with Art Fleming) and inserted it in "Special Bulletin."
Another obscure game show find in a movie -- there was a 2001 film called "Just Visiting" (a remake of a far better French film) about a 12th century French nobleman and his servant being mistakenly launched into modern-day Chicago. Early in the film, the two heroes stumble around a present-day apartment, where they discover a TV set, turn it on, then attack it, thinking it's some kind of monster. The TV was showing, IIRC, the opening of a Dawson Feud.
JD