Here is the full list of all 41 FATAL FRAME / PROJECT ZERO: Mask of the Lunar Eclipse achievements.
Clear Final Phase.
Clear Final Phase on Normal difficulty or below.
Execute a special kill 100 times.
Evade ghost hand 5 times.
Clear Phase XI.
Clear Phase X.
Clear Phase IX.
Clear Phase VIII.
Clear Phase VII.
Clear Phase VI.
Clear Phase V.
Clear Phase IV.
Clear Phase III.
Upgrade the Spirit Stone Flashlight for the first time.
Attack 3 wraiths at the same time.
Clear Phase II.
Upgrade aCamera Obscura Lens for the first time with Misaki.
Upgrade the Camera Obscura for the first time with Misaki.
Clear Phase I.
Reach a combo of 3 or higher during Fatal Time.
Upgrade aCamera Obscura Lens for the first time with Ruka.
Upgrade the Camera Obscura for the first time with Ruka.
Opened Snap Mode for the first time.
Clear Prelude.
Defeat a wraith for the first time.
Unlocked all achievements in "FATAL FRAME/PROJECT ZERO: Mask of the Lunar Eclipse".
Upgrade all Lenses to the highest level.
Clear Final Phase on Nightmare difficulty.
Obtain the highest rank in all missions.
Obtain the Optimal upgrade.
Clear Final Phase on Hard difficulty.
Collect all notes, diaries, Spirit Radio recordings, and cassette tapes.
Take a photo of all revenants.
Take a photo of all specters.
Take a photo of all Hozuki dolls.
Upgrade all of the Camera Obscura's basic abilities to the highest level for Ruka.
Upgrade all of the Camera Obscura's basic abilities to the highest level for Misaki.
Upgrade all of the Spirit Stone Flashlight's basic abilities to the highest level.
Take a photo of all wraiths.
Upgrade the Spirit Stone Flashlight's Lens for the first time.
Take 10 photos of blossomed wraiths.