Here is the full list of all 52 Infinite Space III: Sea of Stars achievements.
Trade at Swap Meet
Survive an Urluquai Ambush
Destroy a Hostile Spacecraft
Explore 10 Star Systems
Board a Drifting Space Hulk
Upgrade your Ship Hull
Win a Battle
Deploy a Ship During Encounter
Become a Starport Derelict
Find Phredd
Repair a Wrecked Fighter
Flee And Re-deploy a Ship
Encounter All Regular Races
Ally With Someone In Combat
Upgrade an Alien Ship Hull
Sleep For a Long Time
Destroy 100 Hostile Fighters
Sell a Lifeform To Science
Explore 100 Star Systems
Fire Particle Vortex Cannon
Destroy 100 Hostile Ships
Win 100 battles
Receive an Item You Wished For
Obtain Thunderbucket
Build a Flotilla Of Six Ships
Trade At a Hostile Homeworld
Find a Home For the Sardions
See a Cloaked Ship
Explore 1000 Star Systems
Destroy 25 Tan Ru Decimators
Play as Captain Bernie Sanders
Make Friends With the Tchorak
Destroy 1000 Hostile Ships
Discover All the Black Holes On the Map
Travel Through a Black Hole
Raid the Starship Graveyard
Destroy a Cloaked Enemy
Destroy a Tchorak Vent Mother
Take Control of Starship Damocles
Explore the Sector Before Time Runs Out
Destroy 10000 Hostile Ships
Become Glory System President
Travel Between Stars Aykroyd And Belushi
Loot the Tchorak Garbage Dump
Destroy Three Fighters With One Shot
Wipe Out the Kawangi
Destroy the Kawangi With No Collateral Damage
End the Urluquai Crusade
Defeat the Ravian Invasion
Destroy Primordius
Put Down Swamp Pirate Rebellion
Finish the How To Play Section