Being a person with little patience and a short attention span, I like to simply PLAY my games, not watch them. That is not to say I don't like story and atmosphere in my games. What I don't like is anything that takes the game out of my control and forces me to sit back and watch. Tutorials, heavy dialogue, cutscenes, etc.. Just let me play the damn game myself! The key feature of games is INTERACTIVITY, and having complete control. this is what differenciates them from movies and what makes them so appealing.
If you notice a pattern with most of the best selling games, they are mostly games with high levels of customization, interactivity, and/or flexibility in terms of activities people can do, and a core of pure gameplay is the focus of most of them. People like games in which the events that unfold are influnced heavilly by their actions. See Tetris, The Sims, GTA3, Modern Warfare 2, Super Mario Bros, World of Warcraft, Wii Sports, Halo, etc. People like to have complete control of their games, and the freedom to do what they want, shaping the game and the experience to their liking. Cutscenes, tutorials, dialogue, narratives, to not achieve this. This is actually I think a big reason why the PS3 is in 3rd, because it has a big focus on these types of games. One of its key selling points is even a new movie format. People just want to play games, they don't want the extra bs that comes with many of them.