Eric Berlin is making a list of movies for puzzle lovers. For example, "Memento" – one of my very favorites.
I've got one: "The Draughtsman's Contract." An artist contracts with a rich woman to make 12 drawings of her estate and to bestow sexual favors on her while her husband is away. Mysterious objects appear in the scenes he's drawing – a ladder, a pair of boots – and these raise questions about whether the husband has been murdered. I saw this film when it came out in the 80s and can't remember at all how the plot was tied up, but I do remember that it was quite elaborate and clever. It's also beautifully filmed.
Help Berlin add to his list.