My two current favorites are Natsume Yuujin-chou and Hotaru no Hikari. I don't know if you'd classify N.Y.C. as josei the way HnH definitely is, but I think it's too slow/thoughtful to be considered shounen manga..
Natsume Yuujin-chou is about a high-school age boy who has the ability to see and interact with youkai (demons?) and had a very traumatic childhood as a result of it. However, he's a very kind-hearted guy who ends up befriending a lot of the strange and often hostile youkai he meets, but ends up in a lot of trouble and personal problems as a result of it. While the pace is slower than most (think Mushi-shi) it's a beautiful manga and I love all the human and non-human characters in, even the villains.
Hotaru no Hikari is about a "dried-fish" office lady's (Amemiya Hotaru) daily life and her desire to have a beautiful romantic relationship with someone despite being, in reality, a girl who prefers to wear messy sweats and drink beer / eat dried squid at home (not exactly "beautiful lady" girlfriend material, according to her). She tries to pretend to be a "beautiful lady" type of woman when at work and in her social life, and runs into all sorts of funny issues. She has an interesting relationship/friendship with her boss, Takano (aka "Buchou"), who is a very suave and mature kind of guy (clean living, very strict with himself and his workers). Really lovely josei <3