Bocce, bowling, horseshoes, ultimate frisbee, basketball, soccer, stuff like that work. But I guess for that I wouldn't really need a league, just actual friends. Everone sucking at everything would be better than some people sucking and some dominating.
Then again with most of the sports I listed I might as well just hang out at a local bar and call dibs on the next foosball, darts, or pool game.
I still like your idea a lot though, cause getting outside would be good!