Yes. I suggest you read the archives... I think my personal favorite is Red-Shirted Ensigns vs. Stormtroopers.
I guess I should further clarify. They have Superfriends vs. the X-Men. They have ones with Batman, Spiderman, Aquaman, the Incredible Hulk, Wonder Woman, Wolverine, and probably others that I can't think of off the top of my head. Obviously they don't actually have all of the scenarios y'all mentioned, but there are a ton of matches already in the archives. The winner is decided by a vote after people make a case for each side.
