Sakurasou no pet na Kanojo,Chobits,Hoshizora e Kakaru Hashi,Tonari no Kaibutsu kun,Nogizaka Haruka no Himitsu,Itazura na Kiss - these ones are romantic/comedy so if you enjoyed Lovely Complex you will definetely love at least one of these.
Ef - a tale of memories,Bokura ga Ita,Ishuukan friends,Kimi ni Todoke,True Tears,Yosuga no Sora,Nazo no Kanojo X,I´Pure - these ones are more serious with a focus on romance/drama still some laughs here and there but watch one of the first ones and if you´re more into the genre go on with the more serious stuff.....and last but not least some new and ongoing stuff : Bokura wa Minna Kawaisou (romance/comedy) hillarious,brillant animation,nice characters...you will wet yourself believe me...:) and the last one is Ao Haru Ride (ongoing) watched the 5 episode last night and really enjoyed it so far....t