I started playing games when they didn't even have ending--they just went on and on forever. When I finally got my hands on games that had something that resembled a story (Super Mario Bros./etc) I REALLY got into games. When cinematic heavy games like Ninja Gaiden (nes) or Astyanax (nes) came out, I think I had my first orgasm.
I don't seem to care if its good or bad. I LOVE when a game has a narrative!