Here is the full list of all 12 Sherlock Holmes Consulting Detective: The Case of the Mystified Murderess achievements.
You found a key clue!
Started the Mystery.
You solved the Case of the Mystified Murderess
You solved the mystery better than Holmes himself!
Well Done! You solved the mystery under 120 points.
You solved the mystery under 400 points.
You found all the clues required to solve the mystery!