I feel like it would be a neat player-to-player experience if "games" could be played between players. By games, I mean things like chess, beer-drinking contests, and even the already existing sparring option. These could give "GEPs", which are "game event bonuses". These are earned by the winner, and fill up a different bar, and go toward attributes just like FEPs do. Finally, both players who participated get some LPs, and the used game is consumed (for the sake of keeping the game from being too easy).
So if you played a drinking game and won, the barrel of weissbier would be depleted, you would gain 1200 LP, and get some GEPs that go toward charisma. Playing chess and winning will give you 2000 LP, and you'd get some GEPs toward intelligence. The chessboard might need some repairing, or could be gone completely.
Might this inspire casino towns? haha