Minsky's Burlesque was a brand of American burlesque presented by four sons of Louis and Ethel Minsky: Abraham "Abe" Bennett Minsky (1880–1949), Michael William "Billy" Minsky (1887–1932), Herbert Kay Minsky (1891–1959), and Morton Minsky (1902–1987). They were Jewish. They started in 1912 and ended in 1937 in New York City. Although the shows were declared obscene and outlawed, they were rather tame by modern standards.

The eldest brother, Abe, launched the business in 1908 with a Lower East Side nickelodeon showing racy films. His own father shut him down and bought the National Winter Garden (originally, the National Theater) on Houston Street near Second Avenue, which had a theater inconveniently located on the sixth floor. He gave the theater to Abe and his brothers Billy and Herbert. At first they tried showing respectable films but could not compete with the large theater chains. The Minskys tried to bolster their shows by bringing in vaudevillians but could not afford good acts.

Then they considered burlesque. Burlesque acts were cheaper, and circuits (called "wheels") supplied a new show every week, complete with cast, costumes, and scenery. There was the Columbia Wheel, the American Wheel and, in the 1920s, the Mutual Wheel. Burlesque during this period was relatively "clean"; a fourth wheel, the Independent, actually went bankrupt in 1916 after refusing to clean up its act. The Minskys briefly considered signing with a wheel but decided to stage their own shows because it was cheaper and Billy longed to be the next Florenz Ziegfeld.

But Minsky's clientele needed a compelling reason to trek up to a sixth-floor theater. Billy realized that success in burlesque depended on how the women were featured. Abe, who had been to Paris and the Folies Bergère and Moulin Rouge, suggested importing one of their trademarks: a runway to bring the women out into the audience. The theater was reconfigured and the Minskys were the first to feature a runway in the United States. Billy had the sign out front changed to "Burlesque As You Like It – Not a Family Show," and the Minskys were on their way.

The Minskys were raided for the first time in 1917 when Mae Dix absentmindedly began removing her costume before she reached the wings. When the crowd cheered, Dix returned to the stage to continue removing her clothing to wild applause. Billy ordered the "accident" repeated every night. This began an endless cycle: to keep their license, the Minskys had to keep their shows clean, but to keep drawing customers they had to be risqué. Whenever they went too far, they were raided.

Morton joined the company in 1924 after graduating from New York University, and worked at the Little Apollo Theater on 125th Street. There was a raid during the very first show. For the next four years, the theater showed a weekly profit of $20,000 after payola.

Billy's attempt, however, to present classy burlesque at the Park Theater on Columbus Circle failed miserably.

The most infamous raid, according to the book and film The Night They Raided Minsky's, was said to have occurred in April 1925. By this time it was permissible for women in shows staged by Ziegfeld, George White, and Earl Carroll – as well as burlesque – to appear topless in a static "tableaux". (A similar rule in London theatre was enforced at the Windmill Theatre for Vivian Van Damm and Laura Henderson). The novel, by Roland Barber, fictionalizes a show at the National Winter Garden, in which Mademoiselle Fifi (née Mary Dawson from Pennsylvania), stripped to the waist, moved. (Fifi contradicted Barber's account.) (Raids were occasionally triggered by the comedy material, but dirty comics did not last long because they were a liability to the management.) A theater scholar believes that particular raid never took place. But in his book, Minsky's Burlesque, Morton Minsky (with Milt Machlin) wrote, "As for April 20, 1925, the day that the raid on which the book was based took place, it was hardly epochal in the history of burlesque, but it did turn out to be a prelude to much greater troubles... Anyway, the raid story was fun, but the raid itself was simply one of the dozens to which we had become accustomed; certainly no big crisis." However, both the book and the film which it was based on were both historically inaccurate in the way they portrayed the decline of the flagship Minsky's Burlesque in New York City, which in fact thrived in the time after the 1925 raid and was acknowledged to have been subjected to numerous other raids which didn't significantly impact its success.