ANYTHING GOES (The Gateway, 215 South Country Rd., Bellport, through June 4). Broadway and TV stars Andrea McArdle (“Annie”), Sally Struthers (“All in the Family”) and Josh Canfield (“Survivor”) are all aboard the SS American for this tap-dancing Cole Porter musical from the 1930s. 631-286-1133, gatewayplayhouse.com

THOROUGHLY MODERN MILLIE (John W. Engeman Theater at Northport, 250 Main St., through July 10) The Engeman concludes its night season with this hit Broadway musical about a small-town girl who comes to New York to marry for money instead of love. See how that works out. 631-261-2900, engemantheater.com

THE FORGOTTEN WOMAN (Bay Street Theater, Long Wharf, Sag Harbor, May 31-June 19) Bay Street opens its 25th season just as it opened its first — with a world premiere. In this comedy by Jonathan Tolins, author of “Buyer & Cellar,” a soprano on the brink of opera stardom confronts personal issues in her anything-but-diva life. 631-725-9500, baystreet.org

MILLION DOLLAR QUARTET (Gateway Playhouse, 215 South Country Rd., Bellport, June 8-25) You get to be a fly on the wall during the legendary Sun Records studio jam session in Memphis with Elvis Presley, Jerry Lee Lewis, Johnny Cash and Carl Perkins — impersonators, of course. 631-286-1133, gatewayplayhouse.com

THE UNDERPANTS (John Drew Theater at Guild Hall, 158 Main St., East Hampton, June 9-26) In Steve Martin’s farce adapted from a 1911 German play, we meet Theo and Louise as they return from a humiliation everyone in Düsseldorf is talking about. Right in the middle of the king’s parade, Louise’s bloomers fell to her ankles. 631-324-4050, guildhall.org

AS YOU LIKE IT (Northeast Stage, Shorefront Park bandshell, Patchogue, Aug. 7; East End Arts Council lawn, Riverhead, July 31; Mitchell Park, Greenport, Aug. 3, 5 and 6) and ROMEO AND JULIET and THE TAMING OF THE SHREW (Arena Players, Vanderbilt Museum, 180 Little Neck Rd., Centerport, July 1-31 and Aug. 3-31) Observing 400 years since the passing of William Shakespeare, Northeast Stage, which has presented the Bard’s plays in Greenport for 30 years, brings free performances of “As You Like It” to three waterfront venues — Greenport’s includes a carousel. Arena Players opens its summer season in the Vanderbilt mansion’s cobblestone courtyard overlooking Northport Harbor with “R&J” followed by “Shrew.” 631-477-2972, northeaststage.org; 516-293-0674, arenaplayers.org

PRISCILLA: QUEEN OF THE DESERT (Gateway at the Patchogue Theatre, 71 E. Main St., July 20-Aug. 6) Two drag queens and a transgender woman trek across the Australian Outback to a pop score (“It’s Raining Men,” “I Will Survive”) in this Tony-nominated musical based on the 1994 movie. 631-286-1133, gatewayplayhouse.com

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MAMMA MIA! (Engeman Theater at Northport, 250 Main St., July 21-Sept. 11) Long Island’s only year-round Equity company opens its 10th season with the L.I. premiere of the musical set to the greatest hits of ABBA, the 1970s Swedish rockers. “Dancing Queen” anyone? 631-261-2900, engemantheater.org

MY FAIR LADY (Bay Street Theater, Long Wharf, Sag Harbor, Aug. 2-28) Michael Arden, Tony-nominated director of Deaf West Theatre’s “Spring Awakening” revival, debuts his reimagination of “My Fair Lady” with a two-piano arrangement of the score and a more intimate perspective on Eliza Doolittle and Henry Higgins. 631-725-9500, baystreet.org