So, check this out. A more game-y game, right, but with some storytelling/roleplaying aspects.
All the character's a competetors in a crafting contest. Maybe they're master blacksmiths trying to make the finest sword for the captain of the king's knights. Or maybe they are farmers in a "largest vegetable" contest at the county fair. Or maybe, I don't know, maybe they are old ladies knitting blankets for a competition at the nursing home. I don't know, whatever floats yer boat.
Anyhow, there would be a list of resources (fine iron, a perfect patch of land with excellent sunlight, or a rare yarn, as examples). So, there would be a race to get the choice resources. There would also be ways to sabotage the others or advance your own efforts, or maybe a way to influence the judge-figure. Anything too underhanded would be risky, though.
Anyhow, this is very rough now, but it might be interesting.
Edit (11/29/08, 1:02 AM): Or, you know, space fantasy? You're character is the head of a spaceship design buerau... And the "Galactic Federation" or whatever is putting out a contract for a new starfighter. You can race to get access to the best engines, shield systems, the most brilliant young designers, etc...