If you're looking for manga similar to Kimi wa Tsukiyo ni Hikari Kagayaku +Fragments (Light Novel), you might like these titles.
Haruya Aoi, who was bullied as a kid, but helped by Shihane Mizudori, who intimidated everybody. Eventually had to move away, and they were separated. Six years later, in high school, Haruya moves back to the neighborhood, and meets Shihane, but finds that she has become a shut-in.