Here is the full list of all 23 Martha Is Dead trophies - there are 2 bronze, 14 silver, 6 gold and 1 platinum.
Complete the game's story
Play the second puppet theatre sequence
Play the first puppet theatre sequence
Enter the family crypt
Read every newspaper edition
Shoot a photo with every camera accessory
Read all diary pages
Carry out a divination every day
Communicate with the White Lady
Fix the bike
Complete Lapo's quest
Shoot all 4 IR photos of the lady
Discover the house in the woods
Shoot all IR photos with hidden riddles
Develop 10 photos with no story link
Shoot 5 photos with no story link
Dress in Martha's clothes
Develop the first photo
Take the first photo
Observe any in-house object
Unlocked all trophies
Complete all telephone calls for obtaining information
Collect all camera accessories