Here is the full list of all 16 RED: Lucid Nightmare achievements.
Complete Module 01 with no damage taken and collect all documents
Complete all nights without taking damage
Complete Module 01
Find every note/scrap
Find every battery
Turn on every light in the house
Choose no false leads during the day 1 investigation
Find every available clue during investigation (requires a minimum of 1 during day 2)
Read every email
Complete all nights without using any batteries
Complete Night 1 without using the flashlight
Complete Night 2 without using the radio
Get hit by every trap in Night 2
Close the door and stay in the bathroom with the lights off for 10 seconds
Stun two Dollfaces at the same time during Night 2
Complete Night 2 without setting off any traps