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