I think the general term for what you're describing is "augmented reality" -- or more specifically in this case "spatial augmented reality" (or "video mapping"). I don't know of any implementations that rival your described game, but it's definitely something people are working on, and there are already some fairly impressive things out there. The technology probably isn't quite there for exactly what you're describing yet, but it's an interesting idea.
Although it doesn't share this type of input -- or for that matter necessarily use computers at all -- you might also be interested in the "real life shooter" Patient 0, where players proceed through a series of professional lit and designed sound-stages populated by actors in screen-quality make-up.
What you are saying is close. Augmented reality seems to fit better. (It completely replaces your feel of realty, and puts you inside another's fantasy.)
Imagine a warehouse, Dark, (So dark you cant see anything) But when you put on the "Oculus Rift" Or whatever you are using, All of a sudden you are (Still int he warehouse) But the warehouse has been scanned by a 3d imager (Moved objects from the real world into a model on a computer) All lit up, Full of Npcs, Or shells (Basically mindless people that ignore your existence) and there some sort of classical dinner going on.
I'm not asking that you can interact with the world, Just more or less be able to walk around in it.
As a concept of course.
~Edit, Spell checking.