I'll give you an example. At a board game company, I do those too, I proposed a card game where playing the cards moved the story along, and each section of the story formed pages in a comic book format. At the end of the game you could take pictures o the "pages" and put them for others to enjoy. Then mix the cards up gain, and since the play order would be different, a slightly different story resulted. I say slightly because if it was a murder mystery a replay wouldn't make it a story about horses.
I think that games are ready for the next evolution and that will continue the killing of movies and TV.