Currently I am only playing League of Legends, and it's been like that for a few years now. I simply love that game, it never gets me bored. And I really don't have time to play more than one game.
When a game never bores you, then you can never get tired of playing such game always. Take nothing away from some games that are more than boring to the skull. So, when League of Legends doesn't bore you, you are supposed to play it always.