It’s rare for a studio to become a brand, but A24 has managed it. Since its humble beginnings as a New York-based distribution company founded by Daniel Katz, David Fenkel, and John Hodges in August 2012, A24 has become synonymous with quality for film lovers, the place that releases the must-see indies everyone is talking about.

A24’s first film was the little-seen and little-loved “A Glimpse Inside the Mind of Charles Swan III” from Roman Coppola, which hit theaters in February 2013 to muted fanfare. But the movie that really put the company on the map was “Spring Breakers,” Harmony Korine’s wild crime comedy that hit theaters in March that same year and established many of the conventions fans associate with the brand: artful neon cinematography, shocking content and stylized violence, and cool-kid cleverness suffused in every frame. That’s not to say every movie that the company distributes...