Here is the full list of all 32 InfraSpace achievements.
Built the Colossal Adamantine Mine.
Build the Magnetic Field Generator.
Finish repairing the spaceship.
Complete terraforming.
Repair your first spaceship part.
Use districts for the first time.
Connect a Habitat to the piping system.
Replace a road with another road.
Build and operate your first train line.
Built and operate your first gondolas.
Build your first power-up building.
Reach a population of 500.
Reach a population of 2000.
Reach a population of 5,000.
Reach a population of 10,000.
Reach a population of 20,000.
Unlock all the buildings in the "Decorations" category.
Have at least 50000 steel and 50000 concrete stored.
Produce all kinds of existing resources.
Unlock the green science packs.
Unlock the yellow science packs.
Unlock the red science packs.
Complete the research tree.
Improve a Habitat to its maximum.
Destroy 30 objects with the Laser Cannon.
Place the statue with mysterious origins.
Two-hundreds of your Habitats downgraded in a single game.
Build a sign.
Place thirty pixel buildings.
Destroy fifty buildings in a row.
Generate 10000 Power.
Drill 1000 Adamantine.