League of Legends type games are called MOBAs.

As for RTS, keep an eye out for Tempest Rising, a Command and Conquer spiritual successor, that's even headed to consoles. With Microsoft successfully bringing Age of Empires to console, I don't think there's any need to promote PC as the place where RTSes live.

Personally, I think if RTSes are to ever be mainstream again, they're going to have to reinvent themselves, but in the meantime, RTSes doing what they've always done will make peace with the size of the market that exists for them these days.