Here is the full list of all 14 Star Chronicles: Delta Quadrant achievements.
Finish the game
Steal information from comms relay
Destroyed a Dreadnought
Shoot the Shadow Agent on first contact
Destroyed a supply ship
Reach sector 10
Boost Shields to 300
Boost Engines to 300
Boost Weapons to 300
Survive your assassination
Met an Eldren Spy
Scared little slaves
Contacted trading station
Went through the anomaly