I think Heavy Rain may be as popular as interactive narratives will get. The problem with interactive narratives is that if the story doesn't deliver, then you kind of feel like you wasted your money on the game. Whereas a game with deep gameplay can deliver a good, bad, or average story and still be worth the money. Also, it's kinda hard to tell if you are going to enjoy the story going in (unless you read spoilers) because it's more like a movie and people's enjoyment of movies differs greatly compared to games. With normal games you can get a pretty good feeling of how you'll like the game based on videos of gameplay, reviews, and demos. You really can't demo a story.