I also tend to like dramas with angsty/sad themes. I would recommend these dramas with fairly happy/satisfying endings:
"Gloomy Salad Days" - I highly recommend this one. It is about death girl who haunts a school in search of souls to "build the bridge" to death. It is basically a series of intertwining stories of people who are faced with issues that have to overcome. There are some very sad moments in this and also some happy ones. This is in my top 5 favorite dramas.(Deals with abuse, rape, prostitution, etc)
"Last Friends"- Jdrama about a group of friends who are dealing with past/current trauma. Each character is facing their demons and trying to overcome them. (Deals with abuse, rape, adultery, etc)
"MARS"- this is probably the most similar to Autumn's Concerto.The playboy of a college falls in love with a innocent student who faced abuse from her stepfather. The Lead male is also dealing with his own personal issues. (Deals with rape, suicide, etc)
LIFE-story take place in high school. It basically deals with bullying. This is also really good. I finished it in one day.