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