To answer the question, I love BL, sci-fi (steampunk, cyberpunk), mystery, horror, supernatural, dark comedy, sci-fi-fantasy. Yep.
But I usually get drawn to a story by the characters. If a character picks my interest, I'll read everything just to know more about them. From the story they're in, to the wiki pages, to looking at concept art, looking for every piece of fanart, etc.
This sort of thing lead me through some bizzare stories that I would never ever look at if I had to pick by genre or synopsis. Sometimes I have regretted to go through the pain of reading the stuff :'D But in the end, all in all, it was worth my time and sanity for that one awesome character. (I'm looking at you, Demonbane!)
But sometimes if the story is just too cliche/boring/other characters pissing me off, not even the best intentions to get to that one bae will help to get through that shitty story...