Since “The Marvelous Mrs. Maisel” ended its 22-time Emmy-winning run in 2023, TV series have been awfully short on temperamental artists, fast-talking New Yorkers and whip-smart female characters. The new Prime Video series “Étoile” boasts all of those things — plus pouty Parisians, complex choreography and the most leg warmers you’ve seen since the 1980s.

For their much-anticipated follow-up to “Maisel,” husband-wife writing-producing team Amy Sherman-Palladino and Daniel Palladino chose to leap into the rarified world of classical dance, spotlighting two fictional companies, the Metropolitan Ballet Theater in New York and Le Ballet National in Paris. Their anxious but charismatic leaders — Jack McMillan and Geneviève Lavigne, respectively — agree to a single-year foreign-exchange, swapping their top artists — dancers, choreographers, conductors — in order to boost ticket sales and revitalize interest in a centuries-old art form. “A lot of our dancers have abandoned toe shoes for TikTok, the dressing rooms are filled with screaming...