Prior to 1900 Eddleman, Floyd, comp. Shoe String Press, 1979. This source, along with the supplements, provides reviews and other criticisms of plays up to 1990. International Bibliography of Theatre . This indexing source provides reviews of current and past productions.
Access is by name of the play.
Even though the starting date of this publication is 1982, there are references to reviews of plays performed before the 20th century. An Index to Late 19th Century Periodicals . G.K. Hall, 1984. Provides reviews of plays from 13 American periodicals published after the Civil War. New York Times Theater Reviews .