I saw a move eons ago during late-night where there was some sort of haunted elevator, I believe in the Millennium Building. I can't remember if it was actually haunted, but it reminds me of what you're saying here. I wonder if that's what it was.
EDIT: I think it was called The Shaft, but couldn't find it by that name when I first Googled it, hence my post. I later found it under a different title called Down, even though the cover art clearly shows it as The Shaft. Different film, I guess... and probably just as poor, as I do believe it was haunted.



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