I've never seen the movie Black Swan but every swan I've seen in my life looks like this, so I can only assume it's about a ballet dancer who is completely normal
You've misconstrued the premise. It's about a ballet dancer who BECOMES a completely normal Swan when she dances. It's the circumstances, not the colour of the bird which makes it film-worthy.
My friend refers to white swans as "Fancy Swans" for that very reason. "Fancy Swan" can be the long awaited sequel about the normal ballet dancer's snotty friend