Here are a few Japanese dramas that you may enjoy~
Beginners! - (Comedy, Friendship, Romance) Eight police officers in training. Includes interesting back stories, and some nice romance.
Kyou wa Kaisha Yasumimasu - (Romance, Life) A businesswoman who has had no experience in love or relationships, suddenly meets a young man who falls for her. The romance takes off when they both working in the same office.
Pin to Kona - (Romance, Manga) Very nice drama centred on the art of Kabuki in Japan. A really great story, and nice romance.
Tokyo Zenryoku Shoujo - (Family, Comedy) A cheerful girl moves to Tokyo. She reunites with her father. There she decides to help her father's love life.
Yokai Ningen Bem - (Fantasy, Supernatural) 3 half human/half monsters desire to become human.