As for what I'd like it to be...
Well, that's a tough one...
I'd like it to be a baseball game, not too dissimilar from Avalon Hill's old bookshelf baseball games, but with a bit more strategy and chance involved.
I'd also like it to be bloody
What I'm thinking is a sort of "no holds barred" setup in which players are ranked according to a variety of attributes: fielding, batting average, slugging, speed and brawn, for instance, while pitchers are graded on velocity and control. So far, it's pretty much like normal baseball.
The "brawl" part comes in the strategy: pitchers can actually try to hit batters on purpose, and batters can rush the mound. Physically blocking the base paths is perfectly legal, as is tackling. For instance, a runner at second can try to tackle the shortstop to prevent him from making the play on a ball hit his way. Batters will be able to try to hit the ball directly at opposing players in order to take them out. That sort of thing.