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