Opening animation used on the OVA anime of Blue Sonnet from 1990 (according to imdb).

A great anime sadly overlooked in modern times, ok it's not the best out there but it got it's story through from start to finish in 5 20 odd minute episodes which is good enough for me.  

For those who remember the Manga dub I believe Toni Barry was the voice of Lan Komatsuzaki, this lady is legend imo as she did loads of anime voices and I saw loads of them as I grew up, her and Sean Barret famous for Captain Britain from Dominion which Toni Barry was also acting in.

http://ia.media-imdb.com/images/M/MV5BMTgyMzY4ODc1Ml5BMl5BanBnXkFtZTYwOTA1MDE5._V1._SX253_SY400_.jpg