Here is the full list of all 30 Ancient Space achievements.
Complete the campaign.
Complete Mission 15 producing only small units.
Destroy FTL blockades without losing more than 4 alien units in Mission 14.
Make 130 Discoveries.
Command at least one Mk.2 unit of each unit type.
Board at least 5 XL enemy units in Mission 13.
In mission 13, capture 3 units, destroy 3 enemy units and destroy 3 enemy buildings - all within 5 minutes.
Use the ability of every officer at least once during a single campaign.
Board a Kraken in Mission 12.
Complete Mission 11 with the forcefield generator losing no more than 25% of its hit points.
In mission 10, do not reinforce any building slots (you can board them though).
Find out what happened to the previous expedition. Complete Mission 10.
In Mission 7, complete the optional objective without ever picking up the target object.
Reach the Katarina with Corsairs in under 8 minutes in Mission 7.
Complete a mission deploying only a single corsair and no other units.
Do not lose any units to invisible attackers in Mission 6.
Construct a self-defending, self-repairing, self-protecting, enemy-detecting and enemy-attacking group of buildings.
Build each of the available building types.
Venture deeper into the Zone. Complete Mission 5.
Have at least 7 XL units in a single mission.
Find all Discoveries in a single mission from 2 to 15.
Secure all stations in a single mission.
Destroy an enemy Station with another building.
Board a secured station.
Destroy at least 30 units in a single mission using the Olympus.
Assemble the fleet for the expedition. Complete Mission 1.
Perform an optional objective.
In mission 1, at least two of your assigned cargo ships must survive until they reach Sector 2.
Complete the campaign in under 8 hours of total mission time.
Complete the campaign in Hardcore Mode.