I have a lot of romance animes. I'll list the best in my opinion.
Itazura Na Kiss
Peach Girl
Lovely Complex
Suki-tte Ii Na Yo*
Hanasakeru Seishonen
Ginban Kaleidoscope
Special A
Vision of Escaflowne
Tonari No Kaibutsu Kun*
Kamisama Hajimemashita*
Guilty Crown
Ouran Highschool Host Club
The ones with the stars are the ongoing animes so they don't have a resolution yet.
The first 4 animes i listed are one of the best so i recommend that you watch those first. The rest are not in order.
I hope i helped you! It's nice to find someone who is into romance anime.
Enjoy!!!