Here is the full list of all 38 Fear Equation achievements.
Allow a Wanderer to use their power to transmute defences into food and medicine
Encounter your first purge
Bring a Wanderer onto the train
Complete a scavenging mission
Complete a scavenging mission without losing anyone
Rescue at least one survivor from a scavenging mission
Retrieve more than 20 items on a scavenging mission
Perform at least one upgrade
Complete the tutorial
Construct a single defense from scrap
Launch a beacon
Complete a mission on battery power
Survive a military attack at full throttle
Construct at least one defense from materials, electronics, chemicals and machinery
Complete all upgrades in a single category
Launch a Hail Mary mission
Agree with one party in a dispute
Make a passenger disappear from a carriage by cutting the power
Lose at least 50 passengers from power outages
Encounter your first revolt
Reach the final destination with at least one passenger
Reach the final destination with more than half the train full of passengers
Lose the game when the passengers revolt
Lose the game after the military destroys the train
Listen to showtunes on the radio
Experience a mission computer malfunction
Reach the final destination with a custom Engineer at Very Hard difficulty
You made it to salvation... but at what cost?
Successfully defeat the blockade in the Blockade scenario
Win a battle against the military with your weapons optimally configured during the Blockade scenario
Find all 5 pieces of intelligence in a single game during the Blockade scenario
Win 5 battles in a single game against the military during the Blockade scenario
Lose during the Blockade scenario by running out of time
Create a custom Engineer with at least one modifier
Create a custom passenger
Send passengers to kill a Wanderer and have at least one of your party return alive
Allow a Wanderer to use their power to teleport the train
Allow a Wanderer to use their power to block nightmares