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.
Himekami turned into a Knight.
Miu turned into a Knight.
Cleared XF: Warden's Block.
Viewed Shin's Individual ED.
Completed Shin's Wish.
Shin turned into a Knight.
Viewed Yuko's Individual ED.
Completed Yuko's Wish.
Yuko turned into a Knight.
Viewed Sako's Individual ED.
Completed Sako's Wish.
Sako turned into a Knight.
Viewed Kisaragi's Individual ED.
Completed Kisaragi's Wish.
Kisaragi turned into a Knight.
Viewed Ran's Individual ED.
Completed Ran's Wish.
Ran turned into a Knight.
Viewed Alice's Individual ED.
Completed Alice's Wish.
Alice turned into a Knight.
Cleared Purgatory.
Viewed Tomoe's Individual ED.
Completed Tomoe's Wish.
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.