Sherlock Holmes vs TDK Joker
Sherlock on film is generally faithful to the novels, and I personally think this would be a hell of a case; The Joker promises to kill one person each day, and then double the amount each subsequent day, along with robberies and what have you. Joker doesn't give hints like the Riddler does, but there is a method to his madness and Holmes is renowned for making leaps of logic that are still astounding to this day.