Well, there are many, but I don't watch them that often. Some I know are:
-Tokyo Mew Mew, or Mew Mew Power in English.
-Lovely Complex, or Love Com in English.
school rumble
"His and Her Circumstances" (Karakano) "Ah! My Goddess" "Chobits" ... to name a few that I enjoy. :)
Shigatsu kimi wa uso and Nodame Cantabile are among the most popular romance and music anime.
KareKano, Hanayori Dango, Furuba, Lovely Complex, Ouran High School, NANA
Try ~ Kimi ni Todoke - Tonari no Kaibutsu-kun - Bokura ga Ita - Kaichou wa Maid-sama! - Nana .
Some good anime shows to watch if you enjoy those listed are: "Mermaid Melody Pichi Pichi Pitch" for a mix of music and romance, "Ouran High School Host Club" for a blend of comedy and romance, and "Kamisama Kiss" for a mix of supernatural elements and romance.
Vampire knight, but if u want a school supernatural show then soul eater is pretty good.
Death note and Gankutsuou are good shows.
yes tonari no kaibutsu is very good it has romance in it but it is really nice to watch but i dont think you can find that anime anymore because i tried everywhere but if you found it good for you
Anime and Manga: Gakuen Mokushiroku: High School Of The Dead
Bones, Castle, Chuck
Peach girl. Hope that helps