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What interests you when you hear "story games"?What worries you when you hear "story games"?
John Harper's Lady Blackbird is what opened my eyes to games that don't have to be a textbook covering every single tiny little element of play. From there, I was much more open to non-traditional games.
To be honest I'm much happier running a game for new players than for experienced traditional gamers. They are more of a blank canvas that accepts ideas rather than a Mona Lisa that objects to the moustache.