Does anybody know a good anime that I would like?

I liked Shugo Chara, Detective Conan, Cardcaptor Sakura (A LOT), Ojamajo Doremi, Inuyasha (although I got tired of the constant fighting), Tokyo Mew Mew, Mermaid Melody Pichi Pichi Pitch. Basically, I hate the fighting kinds and the harem kinds. I didn't like Naruto or One Piece (sorry). I'm dying to watch a new anime. Can anybody recommend an anime that I will definitely like?