The musical Sweet Charity has good bloodlines—book by Neil Simon, music by Cy Coleman, lyrics by Dorothy Fields, original direction and choreography by Bob Fosse—yet the 1966 show has never occupied the top tier of musicals, such as My Fair Lady, South Pacific, Fiddler on the Roof or Gypsy. It has hardly languished in obscurity—there was a decent Broadway revival in 2005—but the New Group production directed by Leigh Silverman is such a persuasive delight that you may come away thinking it is top-tier after all. The production benefits from a terrific performance by Sutton Foster, a two-time Tony winner (and star of TV Land channel’s popular series Younger) in the title role. Foster is better known for big-budget Broadway shows such as Thoroughly Modern Millie and Anything Goes, but it’s a thrill to see her work magic in close quarters.