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