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