Here is the full list of all 35 The Expanse: A Telltale Series achievements.
Complete the Archangel story
Play three chess moves against Arjun
Get the votes to oppose Mendez’s motion on the first try
Open the Secretary-General's safe
Practice meditation at the Buddha statue
Complete Episode 5 with all Data Logs
Complete Episode 5 of The Expanse
Keep Maya alive
Keep Khan alive
Keep Cox alive
Complete all Episodes of The Expanse
Keep All Possible Crewmates Alive
Help Virgil overcome his panic attack
Complete Episode 4 of The Expanse
Made it past the Drones in the Mines without being caught
Complete Episode 3 of The Expanse
Complete Episode 2 of The Expanse
Listen to Maya’s Music
Give Cox the Bottle of Scotch
Give Vigil the Mushroom Powder
Give Khan a Gift
Found a Laser Crystal for Virgil
Found all Scavenge Items in Episode 1
Find all Data Logs in Episode 1
Complete Episode 1 of The Expanse
Complete Episode 2 with all Scavenge Items
Complete Episode 2 with all Data Logs
Complete Episode 3 with all Scavenge Items
Complete Episode 3 with all Data Logs
Complete Episode 4 with all Data Logs
Give the Twins some Medicine
Discover the truth about Vigil's past
Rayen kills Arlen
Find all the Scavenge Items in the game
Find all Data Logs in all Episodes