I suppose I have fairly high standards, but only in certain arenas: I absolutely require a story. If you've created an elaborate and complex multi-player title with 'jaw-droppingly awesome gameplay', you might as well have created "Pong" for all I'm going to care about it. Without a narrative framework to contextualize my actions, I see all games, from the simplest to the most ridiculously complicated, as mere pointless diversions (crap).
People who know me would probably call me out on this of course, as I've made it known that I do in fact dally with a couple of titles without stories, and indeed, they are not just story-less but also casual games. But it's not actually the contradiction one might think it is!
See, the only "casual" games I play are Audiosurf and Beathazard, and they share one very important distinction that differentiates them from the likes of Peggle, Bejeweled, Counterstrike, or Battlefield 1942 (in my mind you see those games all fit into the same category of "things I ignore because they're pointless") - both titles dynamically generate content based on music from your collection, which they play while you're playing the resultant "levels".
This transforms them from mere pointless diversions I would never bother with into an interactive means of listening to my awesome music, which I do quite often anyways - but now I can do that and win.