A few thoughts. At the most basic, though perhaps too boring, a morality game like the traditional chutes and ladders. A better model for giving up desires to attain enlightenment would be the classic card game where you win by emptying your hand of cards. Perhaps the card game model could be combined with the already interesting-and-map-like traditional image to impose more cards or allow you to remove cards as you progress? You could even include a few good cards in the deck to tempt people to pick up cards on occasion (which will be bad more often than not as a sneaky morality lesson?).

For a more cooperative game, the goal would have to be universal enlightenment and you'd be working against traditional evils. It would be interesting to have peoples roles (and thus abilities) change as they pass through different incarnations to change the game dynamics as it progressed.