Psycho-Pass Asylum contains four short stories. The first is about Guseong Choi's early life in North Korea. The second is about Kagari Shuusei's life, complete with his cuisines. The third one is about Yayoi Kunizuka and Shion Karanomori's relationship. The last one is about the daily life of Nobuchika Ginoza as a young Inspector.
(Source: Psycho-Pass Wiki, edited)