You can’t say that the new musical Baby It’s You! is shy about its intentions. In the opening moments of this show about the mega-selling ‘60s girl group The Shirelles, an image of a jukebox is projected. Clearly this new effort conceived by Floyd Mutrux (Million Dollar Quartet) is aiming to be a jukebox musical competitor to Jersey Boys. Except in this case a more accurate title would be “Jersey Girls.”

Written by Mutrux and Collin Escott, the show is actually less concerned with The Shirelles, who barely emerge as characters here, than in telling the story of Florence Greenberg, the Passaic, New Jersey housewife who became a record mogul and shepherded the group to stardom.

Beth Leavel (The Drowsy Chaperone) stars as the driven Greenberg, a pre-feminist era music industry pioneer who discovered the singing group at her daughter’s high school. Much to the consternation of her husband Bernie (Barry Pearl), she embarked on a career that eventually led to her own independent record label, Scepter Records, and a string of hits by the group that included “Dedicated to the One I Love,” “Soldier Boy,” “Mama Said” and “Baby It’s You.”

Those songs are dutifully recreated here (with “Will You Love Me Tomorrow” a surprising omission). But since the group didn’t have all that many chart-topping singles, the show’s score is augmented by other classics from the era like “Sixteen Candles,” “Shout,” “Louie Louie,” “It’s My Party,” “Duke of Earl” and “You Really Got a Hold on Me,” among many others.

Awkwardly intermingling songs done performance style and in the context of the book—at one point Bernie chides his wife by singing “Yakety Yak”—the show lacks the narrative drive and theatrical pizzazz that has made Jersey Boys such a smash. Most of the drama stems from Greenberg’s interracial affair with Luther Dixon (Allan Louis), the record producer/composer who became her partner in the company.

But it’s still pretty entertaining, thanks to the non-stop assemblage of memorable pop hits that are well performed by the ensemble, which includes Erica Ash, Kyra Da Costa, Christina Sajous and Crystal Starr Knighton as the Shirelles and Geno Henderson impersonating such stars as Chuck Jackson, Ron Isley and Gene Chandler as well as performing narration duties.

Leavel anchors the proceedings with her dynamic performance in the central role, as well as lending her impressive pipes to such numbers as “Don’t Make Me Over” and “Tonight’s the Night.” She also looks terrific in an array of eye-popping outfits courtesy of costume designer Lizz Wolf.

The other performers do mainly well by their sketchily written roles, although some of them come dangerously close to caricature.

Relying heavily on projections of vintage photos evoking the era, the production is little more than serviceable, although it moves briskly along under the direction of Mutrux and Sheldon Epps. The music is really the star here, with Don Sebesky’s arrangements well played by the eight-piece band whose members are located on multiple platforms above the stage.  

Broadhurst Theatre, 235 W. 44th St. 212-239-6200. www.Telecharge.com.