13: Game of Death, its remake, 13 Sins, Cabin in the Woods, and
Hostel Part III are organized deadly games, somewhat similar to Cube. None of them really involve puzzles though, like Cube and Saw.
Cheap Thrills is a sadistic game, less organized, and more of a black comedy.
Battle Royale is a different type of deadly game, where contestants are pitted against each other from the get-go. Similar to Hunger Games, but way more violent.
I'll have to check out the ones that others have suggested. Vile is in my watchlist.
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