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