I only really care about the story in RPGs. In action games I rarely pay attention to be honest. I mean, I get the overall plot but I don't dwell on details or even think about it the second I turn the game off. With characters, I only care about what they look like, not what they say or how the act. My interest in video game characters is only skin deep, with a few exceptions... Having said that, Dante looks nowhere near as cool as he used to, and it bothers me.
I read a lot of books and watch a lot of movies so maybe video games is just relaxation for me. I simply don't care what happens in them as long as the gameplay is fun. I could never force myself to sit through a boring game just for the storyline, no matter how good it is.