That's right. Play games with good and pretty long story, it will keep you from turning your head to another game. I suggest Ace Attorney series, Prof Layton, Castlevanias, FFCC:RoF.
These games have great story, with medium difficulty, so you won't get frustrated, full completion is optional, got pretty much savepoints (except FFCC), so you can play them for a while, save, play again and your progress won't lost, even if it did lost it won't be much
Sometimes, story isn't everything, quickplay seems to be the most important part, especially when you're in the urge of playing but have little time for it. So I have some suggestions for quickplays:
Brain Age 2, Worms Open Warfare 2, Call of Duty 4, Age of Empires, Need for Speed ProStreet, CakeMania
Sure, Call of Duty 4 and Age of Empires got Campaign mode, but they have quickplay mode (for Empires, Empire Map).
Sorry, for your question I'd try to find something with good story, and play it, or quickplay a game like Worms Open Warfare 2, quickplay is addictive.