Here is the full list of all 46 Agatha Christie - there are Hercule Poirot: The First Cases achievements.
Complete chapter 9
Complete the denouement
Pass the denouement, flawlessly
Complete chapter 8
Resolve the blackmail and murder cases completely
Uncover a secret/memory from Archibald
Make 150 deductions
Uncover a secret/memory from the Viscount
Visit all locations in the game
Complete chapter 7
You have uncovered a secret/memory from Hugo
Complete chapter 6
You have uncovered a secret/memory from Inge
Make 125 deductions
You have uncovered a secret/memory from Ernesto
Uncover a secret/memory from Rehana
You have uncovered a secret/memory from Gedeon
Complete chapter 5
Uncover a secret/memory from Cassandra
Uncover a secret/memory from Zakariya
Meet all characters in the game
Inspect all items hidden in the snow
Complete chapter 4
You have uncovered a secret/memory from Jacqueline
Make 100 deductions
Uncover a secret/memory from Margaux
Complete chapter 3
Make 75 deductions
Complete chapter 2
Examine all books in the library
Make 50 deductions
Uncover a secret/memory from the Major
Complete chapter 1
Complete the prologue
Make 25 deductions
You have uncovered a secret/memory from Florette
Uncover a secret/memory from Elizabeth
You have uncovered a secret/memory from Luc
Complete the 1st objective
Inspect all items in the prologue
Admire all paintings in the main hall
Inspect every window in the game
Stop for a refreshment during a key moment
Return to the scene of the crime, alone, for a 2nd time
Examine all items in the staff-related areas
Uncover a secret/memory from Angeline