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