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