I would like to say that I would like any game with good dialogue/story, but that would be a lie.
Because I am a sucker for things even vaugely based off mythology.
I know that they're almost always bad, but there are a few real gems (Darksiders, the Shin Megami Tensei games) and those definitely make up for it in my mind.
I also go for anything fantasy, which might fall under that category when you consider the fact that most of the fantasy genre was based off myths and legends. (Fairies and Dragons, anyone?)