Here is the full list of all 20 Spirits of Carter Mansion achievements.
A New Friend
Victory
Wanderer's Victory
No Friends
Investigator
A Long Road
The Objective
The First Key
Fool Me Thrice
The Second Key
The Third Key
The Fourth Key
It's Really Gone
Goodbye Friend
A New Toy
It Spins Around
The Exit Flickers
Not Yet
Decapitated
A Wise Choice