Is there school days season 2?

Yes, there is a second season of the School Days anime. The second season is called "School Days After Story" and it aired from October 2008 to January 2009. The story is set several months after the events of the first season and it follows the lives of Kotonoha Katsura, Sekai Saionji, and Makoto Itou as they try to rebuild their lives after the events of the first season.