It hardly seems fair, really. The simple conceit of “The Vaudevillians,” Jinkx Monsoon’s raucous drag show at the Laurie Beechman Theater, gives Ms. Monsoon and her sidekick, Major Scales, almost a century’s worth of songbook to draw from. That makes it criminally easy for them to hit the audience’s sweet spot again and again. Straight or gay, everyone leaves this show with sides aching from laughter.

Ms. Monsoon (the drag persona of Jerick Hoffer) won Season 5 of the reality television show “RuPaul’s Drag Race,” and her fans are having no trouble finding “The Vaudevillians,” which has been extended several times. She and Mr. Scales (in real life, the composer and musician Richard Andriessen) portray Kitty Witless and Dr. Dan Von Dandy, a vaudeville couple who were frozen in an avalanche in the 1920s but have now thawed out thanks to global warming.

The two were quite the songwriters in their day, though not so good at copyrighting their creations, and here in the present they find that many of their tunes have been appropriated by more recent stars. That gimmick enables “The Vaudevillians” to lay claim to any song since that fictional avalanche, and the show mixes staples like “I Will Survive” with DJ Kool and Lady Gaga.

The smart song selection is coupled with skewed deliveries that turn rock, pop and rap into something that might conceivably have been heard in a vaudeville house, Mr. Scales providing the piano accompaniment. What really makes the show, though, is the meltdown the couple experience even as they’re performing. Ninety years of marriage, it turns out, results in a certain amount of accumulated tension, and it all comes bubbling up as the two belt out their preposterous songs.