Is there a classic love story Japanese anime?!
Question: Basilisk and Samurai X.
Answers: Basilisk and Samurai X.
I like "Omohide Poro Poro".
http://imdb.com/title/tt0102587/
Well I don't know about classic, but you could try Romeo X Juliet which is new I haven't seen it but it sounds like a love story...
there's also 'Chobits'
From wikipedia: "The series explores the nature of Persocoms, human interactions with them, and the nature of love."
Well hope that sort of helps..
Sailor Moon Maybe...
I would say stuff like these:
-Ah! My Goddess
http://myanimelist.net/anime.php?id=50
-Fruits Basket
http://myanimelist.net/anime.php?id=120
-Love Hina
http://myanimelist.net/anime.php?id=189
-Onegai Sensei
http://myanimelist.net/anime.php?id=195
The Vision of Escaflowne has a love triangle between a girl Hitomi and two guys that fight over her, but she chooses one over the other in the end.