Reviews of productions can be a valuable source of information about a play and its public reception. In the case of contemporary works, reviews may be the only source of critical evaluation.
Check newspapers and magazines for the title of the play. You may need to add the playwright's name if the title of the play is a single word or common phrase.
If you get too many results, try adding the word review.
Theatre World, 4th Floor, PN 2277.N5 T45 (1955-1996)
New York Theatre Critics Reviews, 4th Floor, PN 2000. N76 OVERSIZE (1969-1991)
New York Times Directory of the Theater, REF PN 1582. N48 N48 (indexing NY Times theater criticism, 1920-1970).