I'm a big fan of story-driven games, usually of the RPG variety where I can pause, procrastinate, or otherwise distract myself frequently. I'm also a fan of strategy games, like you. My preferences there tend to lean towards more grid- and turn-based combat systems though (a la original Final Fantasy Tactics, Tactics Ogre, Fire Emblem, etc). I also love old-school dungeon crawlers and rogue-likes. The exploration, the loot hoarding, the unforgiving difficulty--love it!