As soon as the curtains pulled back and the set pieces rolled in, I was amazed by the level of detail that went into the set. The smoky cigarettes that nearly every performer totes around the stage add another layer of sensory detail that brings you physically into the world the show is recreating.

Besides unique emphasis on adult female friendships, the comedy of “Broad City” felt very original.

On any given episode of Comedy Central’s critically-adored series “Broad City,” New Yorker protagonists Abbi Abrams and Ilana Wexler are totally in sync. They people watch in Central Park, partake...