The current climate tends to favor the video game as a 'cinematic experience' (at least in terms of revenue and I guess critical reception as well). Personally though, I would like to see games that play to the strengths of the medium. If I want a great story or see a good film, I'll read a book or watch just that, a good film. /edit: actually that's not what I meant to say. Games have provided me with great 'narrative' experiences, but not because they were linear and cinematic. Take Diablo 1 for instance, apart from the intro video, not a cutscene in sight, but that game does such a great job of setting the stage and creating an interesting and believable world through unobtrusive audiovisual cues. It's very likely that it was a method born out of necessity, but to my mind, that is the way to do it.
That is not to say the interactive nature of video games can't be utilized to do some interesting things with the entire concept of 'story', but I feel that isn't really being done right now (we probably need to await the birth of some better AI for that).
However, I think that games should provide a feeling of agency and experiences that are uniquely yours first and foremost. Sure, you'll always have to work within the confines of a particular setting and setup for a story at least, but it will always be some kind of a trade off.