Here is the full list of all 54 Distant Worlds: Universe achievements.
Destroy 1000 Enemy Troops
Capture 100 Enemy Ships and Bases
100 Successful Espionage and Sabotage Missions
Conquer 100 Enemy Colonies
Destroy 1000 Enemy Civilian Ships and Bases
Capture 50 Enemy Ships and Bases
Destroy 1000 Enemy Military Ships and Bases
Eliminate 10 Enemy Empires
Conquer 50 Enemy Colonies
Destroy 50 Space Monsters
Eliminate 5 Enemy Empires
Defeat the Ancient Guardians
Eliminate 100 Enemy Characters
Destroy 100 Enemy Military Ships and Bases
Destroy 20 Space Monsters
Eliminate 50 Enemy Characters
Destroy 100 Enemy Troops
Destroy 50 Enemy Military Ships and Bases
25 Successful Espionage and Sabotage Missions
Own an operational Planet Destroyer
Capture 10 Enemy Ships and Bases
Destroy 100 Enemy Civilian Ships and Bases
Conquer 10 Enemy Colonies
Eliminate 1 Enemy Empires
Destroy 50 Enemy Troops
Eliminate 20 Enemy Characters
Destroy 50 Enemy Civilian Ships and Bases
Build 10 Galactic Wonders
Build 5 Galactic Wonders
Build 1 Galactic Wonders
Mine Most Resources
Highest Trade Volume
Spend 0% of time at War
Change Government to Way of Darkness
Break 20 Treaties
Defeat the Legendary Pirates
Defeat the Shakturi
Destroy 10 SilverMists
Destroy 50 SilverMists
Destroy 100 SilverMists
Destroy 100 Space Monsters
Eliminate 5 Pirate Factions
Eliminate 10 Pirate Factions
Eliminate 20 Pirate Factions
Empire Splits (Civil War)
Change Government to Way of the Ancients
Join the Freedom Alliance
Join the Shakturi (Mutual Defense Pact)
Start 20 Wars
1000 Successful Espionage and Sabotage Missions
Spend at least 90% of time at War
10 Successful Raids against enemy colonies and bases
50 Successful Raids against enemy colonies and bases
100 Successful Raids against enemy colonies and bases