Any good (or bad!) ideas on handling projected movies realistically?

I believe the saying that a picture paints a thousand words, so I've attached one to illustrate what I'm trying to do.

I have an actor in-game who runs around a stage. A projector or light source casts a movie towards the actor and a screen behind the actor. The actor picks up the movie on their mesh, as does the screen. The actor casts a shadow on the screen such that there is an actor-shaped shadow on the screen.

Is there any kind of projector that simulates real-world projected non-uniform...

Any good (or bad!) ideas on handling projected movies realistically?