Here is the full list of all 54 Starpoint Gemini Warlords achievements.
Collect all Artefacts
"Liberate" your first planet
Jump through a Wormhole
Fin
Complete the "Farsight" mission
Complete the "Bon Voyage" mission
Construct the Proxima
Complete 70 research projects
Finish 5 Faction Missions
Use T-Drive for the First Time
Fully upgrade your HQ
Pull 30 targets with a single Gravity Pull skill
Complete the "Jumping Jack Flash" mission
Visit the old Landmark
Complete the "BFG" mission
Construct the Hub Module Level 3
Emerge victorious from a battle with less then 5% hull points remaining
Complete the "Power to the Core" mission
Complete the "Hard Times" mission
Complete the "Orphiel - Take Two" mission
Destroy 5 ships with a single Shotgun Skill
Take over Your 1st Region
Link/Hack your first satellite
Build your 1st module
Complete the "Defender of the Crown" mission
Complete the "Get Things Rolling" mission
Finish the Prologue
Kill a Warmaster
Overkill
Destroy 4 ships with a single Precision Shot skill
Let your Holo Decoy destroy 2 ships in 10 seconds
Ram into a Wamaster who tried to use the Ram skill on You
Push away 200 targets with the Gravity Push skill
Destroy 15 ships with a single Warhead skill
Destroy 10 ships with a single Expose skill
Accumulate 30 minutes of Cloak time
Disable enemy ships for a total duration of 30 minutes
Successfully Execute 10 ships in a row
Have all planets under your control
Conquer 25 Regions
Conquer 50 Regions
Emerge victorius from every battle in all Gladiatrix arenas
You've "backstabbed" the person with whom you're conversing during a certain main quest
Delay activating the Proxima Beam for 60 seconds after it charges
Nuke an enemy Warmaster
Customize a ship
Earn 1,000,000,000 credits
Build all possible structures in all 15 regions
Collect all Geminipedia entries
Collect all Factions of Gemini entries
Collect all Ship Chassis of Gemini entries
Collect all Anomalous anomalies entries
Share your thoughts with the rest of the community
Capture a Destroyer Class ship after pillaging every room of that ship