Really, I don't get why anyone would want to banish sports games, if only because they are supposed to be targeted towards it's core audience in the first place. Sure, they may be repetitive and complicated as hell, but using that logic, it's really no different than level grinding in RPGs, or finding extra stuff in adventure games, now is it?
To kill off a genre of gaming is like cutting off the nose to spite your face, and you ostracize a segment of gamers for killing their favorite genre of games. That said, if I had to choose, I would get rid of the puzzle genre. Basically, if you play one, you've played them all so to speak, and the indie game scene in general just love to make these kind of games, because a lot of them seem to be incapable of making something that isn't the same 8-bit dub step crap over and over again. And they have the gaul to say that big AAA developers are stagnating gaming, when most of the indie developers do just that, I dare say this is a case of pot meet kettle.