I'd suggest that Black Swan isn't a ballet film - it's a horror story that happens to take place in a ballet company, but it could be set in almost any intensely hypercompetitive professional environment and its most obvious cinematic antecedents aren't ballet movies but Polanski's Apartment Trilogy and All That Jazz.
The Red Shoes is certainly melodramatic but it was based on a real-life melodrama, that of Diaghilev and Nijinsky, and Nijinsky's descent into madness is at least as horrifying as the suicide of Victoria Page. (The Nijinsky story was re-enacted again, this time for real, in the Sixties with Balanchine and Farrell, albeit with a much happier personal and artistic ending. (Balanchine after seeing Bejart's Nijinsky: Clown of God ("If I'd done the ballet, I'd have made Suzanne Nijinsky.")
I wasn't crazy about The Company (starring Neve Campbell, whose idea it was, and directed by Altman) but it actually does dramatize many of the quotidian concerns and aspects of company life with little exaggeration or bombast. A TV series or miniseries could possibly take the idea and improve on it.