Here are several examples of what you can do on a stage
Proscenium stage
A proscenium theatre is what we usually think of as a "theatre". It is where the audience faces the stage on one side
Proscenium
Bass Hall
Audience Faces the stage
View from the stage
Thrust Stage
A Stage surrounded by audience on three sides. The Fourth side serves as the background
In a typical modern arrangement: the stage is often a square or rectangular playing area, usually raised, surrounded by raked seating
Thrust Diagram
Greer Garson
Arena stage
A central stage surrounded by audience on all sides. The stage area is often raised to improve sight lines.
Arena Diagram
Fichandler Theater Houston
Black box
Big empty boxes painted black inside. Stage and seating not fixed. Instead, each can be altered to suit the needs of the play or the whim of the director.
Black Box
Time Lapse Of - Dee and Wyly Theater
Mixed space
A space that can be transported into many different styles of theaters