There should be a master thread for each genre if you ask me. A sort of "must" list of good anime. But not our call, right?
Anyway... I recommend:
Ai Yori Aoshi
Akane-iro ni Somaru Saka
Clannad (and sequel)
ef - a tale of memories. (and sequel)
I''s Pure
Suzuka
Toradora!
True Tears
Ai Yori Aoshi, I''s, & Suzuka are manga adaptations which do not cover the entire story, so if you want the whole deal, read the manga.