Here is the full list of all 36 Criminal Girls: Invite Only achievements.
You are Hell's champion.
Discovered the hidden ending.
You cleared the Garden of Memories.
Completed the game.
Completed Miu's Wish.
Completed Himekami's Wish.
Miu turned into a Knight.
Himekami turned into a Knight.
Cleared XF: Warden's Block.
Completed Alice's Wish.
Completed Yuko's Wish.
Completed Ran's Wish.
Completed Kisaragi's Wish.
Viewed Shin's Individual ED.
Completed Shin's Wish.
Viewed Ran's Individual ED.
Viewed Yuko's Individual ED.
Viewed Alice's Individual ED.
Viewed Kisaragi's Individual ED.
Viewed Tomoe's Individual ED.
Completed Tomoe's Wish.
Cleared Purgatory.
Viewed Sako's Individual ED.
Completed Sako's Wish.
Sako turned into a Knight.
Yuko turned into a Knight.
Ran turned into a Knight.
Shin turned into a Knight.
Kisaragi turned into a Knight.
Alice turned into a Knight.
Tomoe turned into a Knight.
Cleared the Education Block.
Cleared the Frost Block and brought everyone together!
Cleared the Inferno Block.
Cleared the Morass Block.
Cleared Prison Block.