I'm kinda like este with my game playing, except that I only have five total platforms and they're all connected all the time. Two of 'em are rarely played: FEKA, for which I only have a handful of LA games, and the PC-FX, which is mostly only played if a visitor wants to see it or if a game comes up in chat or a thread. The other three systems are played more often: PSP, Vita, and Turbobs. I rotate between the three and try to play a game through to the end (or at least until it's no longer fun and I give up, like in Frantix or N+), and often it's a game that I've barely played before. It's a pretty good way to get to know a game inside and out.
I also have a handful of favorites that I pop in just for fun, when I want a break on whatever game I'm trying to beat, only have a few minutes to play, or am playing with a friend - stuff like Hatris, Bust A Move, Soldier Blade time runs, Bomberman '93/'94, Parasol Stars, etc.