Here is the full list of all 14 Star Chronicles: Delta Quadrant achievements.
Went through the anomaly
Scared little slaves
Contacted trading station
Met an Eldren Spy
Survive your assassination
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
Boost Engines to 300
Boost Shields to 300
Boost Weapons to 300