Theatre Magazine
Founded in 1900 as a pictorial quarterly called Our Players, it changed its name to The Theatre in May of 1901 when it became a monthly edited by Arthur Hornblow. Subsequently it was known as Theatre Magazine or simply Theatre. It became the finest of popular monthlies devoted to the theatre, as opposed to the more intellectual Theatre Arts, and survived for exactly thirty years, closing after its April 1931 issue. -Answers.com
November 1906
August 1921
October 1921
January 1922
January 1924
Febuary 1924
April 1924
July 1927
March 1929
April 1930
June 1930
October 1930
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most of these covers come from magazineart.org [link]
you can view more at finsbry's fabulous flickr page [link]
several more are at the always great Art Deco [link]
more at Gallery Direct Art [link]
thirty or so editions can be read at the Internet Achieve [link]