The recent thread on Deadly Premonition inspired this thread -- forgive me if it is a retread.
I'm a big fan of unconventionality, and I love games that make you do a double take and go, "WTF?" I recently bought said Deadly Premonition, and while I haven't put as much time into it yet as I've wanted to, but I like the idea and where it's going. So what are some other examples of flat out crazy video games? I'm interested in taking suggestions from any genre/platform/console. Let's hear 'em.