I more of finish a game and move on to next, that's not much an issue.
Back in 90's - when I still had only two digit number of games - I did play so much Civilization, Dune 2 and Wolfenstein 3D that I did for long time had had enough of Civilization (got Civ II, but only played it little; recently got IV & V, still waiting to get into those), whole real-time strategy genre (for about twenty years almost only other one I played was the remake Dune 2000) and shooters in general (really got into them starting 2011).