Listed below are links to a selection of archival inventories, often called finding aids.  They illustrate various ways theatre company archives can be described in order to provide information about and access to the records.

The Guthrie Theater Archives, archived by the University of Minnesota Library’s Performing Arts Archives, are accessible to researchers with permission of the theater’s staff. This finding aid provides basic information on the types and extent of material currently held by the repository.
http://special.lib.umn.edu/findaid/xml/paa003.xml#series5

The New York Shakespeare Festival Records, maintained by the New York Public Library for the Performing Arts, includes a full listing of the company’s archives currently held by the Library. As the Festival adds records to its archives, the finding aid will be updated to reflect those additions.
http://www.nypl.org/archives/4572

The Roundabout Theatre Company Archives are in the process of making finding aids for their holdings accessible online.  The Selwyn Theatre Historic Renovation Collection finding aid describes the materials documenting the Roundabout Theatre Company’s extensive renovation of the derelict theater, beginning with early negotiations in the mid-1980s through the 42nd Street Development Project/New 42nd Street and culminating in 2000 when the company opened its first production in its new home.
http://archive.roundabouttheatre.org/index.php/FindingAids/Collection/Index/