Successor game rules, draft one.

[woad&fangs]

In Lady Frog's story, there was a part where the Scottish king held a tournament between Fulk and some random noble. Basically, each side hand picked ten knights and then they fought a mini-skirmish with blunted weapons. If a knight got captured he had to pay off a set "ransom price" to whoever captured him. The skirmish was fought until one side captured all the knights on the other side. This could also give the chance for other players to get involved to increase their own standing by fighting in the tournament for one of the two fighting parties.

Or else we could just do jousting. Everybody likes jousting.

Edit: I'd be totally happy with the other ideas discussed so far. I'm just throwing in my