Debate tournaments sound good, with judges that disqualify any argument based on logical fallacy (dont know if I responded here yet)
could try any other kind of intellectual game, chess tourneys, or otherwise.
but you already had those ideas and were looking for something "fresh". I remember a game that involved tv shows/movies that had to do with consistency in real life. Small things like does this shit actually happen or not. Mythbuster forum style I suppose lol I havnt really thought it through but the general idea behind it is... there is usually a situation on tv where you think I WAS IN THAT SITUATION THAT SOOOO DOES NOT HAPPEN or somehting like that.