The King is Dead: Immortality (1998)
Have you ever watched a movie and not been sure whether you liked it or not? Immortality (AKA The Wisdom of Crocodiles) is slow and hypnotic and weird. I think I liked it, but I'm not sure.
What I am sure of, however, is that this is a near-perfect reverse TKiD film. It's set in the 20th century and the plot is about a serial killer (and probable vampire, though the only really supernatural thing we see him do is painful and disgusting) stalking and seducing an innocent woman while evading the cop who's after him for killing his previous girlfriend. But just imagine that Jude Law's vampire is actually a heroic revolutionary assassin, and you've got a very instructional film for TKiD GMs. The heroes of The King is Dead, after all, have to cover their tracks more than most RPG characters.
A really weird film, but educational nonetheless...