Swan(1976)

SWAN

Masumi Hijiri is a 16-year-old ballet student attending a small school in Japan. When she unexpectedly recieves an invitation to attend a special ballet competition, and later gains admission to a renowned ballet academy, she embarks on a grand adventure of friendship and hardship. She is the weakest of the students, and as such encounters several challenges, but her determination and faith in herself help guide her through the fierce world of ballet.

(Source: Anime News Network)