Here is the full list of all 15 Lords of the Black Sun achievements.
Deliver a speech.
Accomplish a succesfully negotiation with an opponent race.
Occupy a planet of an opponent race.
Perform a s successful spying mission.
Win your first space battle.
Ënter into a battle in space.
Colonize your first planet.
Manufacture your first ship.
Complete your first research project.
Manufacture your first building.
ACHIEVEMENTGAME_1_0
Declare war on an opponent race.
Win the game by means of a Conquest Victory.
Win the game by means of a Research Victory.
Raze a planet.