Here is the full list of all 30 Heathen Engineerings Terran achievements.
Earn 10 progression points as a Corporation
Earn 10 progression points as a Government
Earn 10 progression points as an Armada
Earn 10 progression points playing as each organization type
Win a skirmish on the hardest setting
Build a new citadel on a star system other than your first
Own 20 space stations
Command a battle against a space station
Command a battle against a citadel
Claim a system by influence
Claim victory in a battle where you piloted a ship
Control 500 star systems at once
Win a battle you didn't start
Have more than 1 trillion total population
Spend 10 progression points in a single session
Spend 25 progression points in a single session
Spend 50 progression points in a single session
Have 50 ships each in a citadel, station and fleet in a single session
Have 50 carriers, dreadnaughts or fortresses in a single fleet
Unlock the heavy class warships
Play a skirmish match
Win a 100 v 100 skirmish match
Earn all other achievements
Unlock all progression nodes
Win a fleet battle
Win a conquest game
Win a conquest game as a Corporation
Win a conquest game as a Government
Win a conquest game as an Armada
Win a conquest game as an each organization type