Here is the full list of all 38 Belt Colony achievements.
Mine ore.
Upgrade the spacesuit.
Upgrade the base station.
Get a spaceship.
Upgrade the spaceship.
Get a solar panel.
Get storage tanks.
Get a drone pad.
Get a greenhouse.
Get a metal refinery.
Get a composites refinery.
Get an ore extractor.
Get a volatiles extractor.
Go to nearby asteroid.
Go to New Haven.
Do a task at New Haven.
Talk to the doctor at New Haven.
Talk to the pilot at New Haven.
Talk to the engineer at New Haven.
Go to the Deneb asteroid.
Go to Canatuan station.
Do a task at Canatuan.
Go to the Nekrit asteroid.
Go to the Setlik asteroid.
Do a task at Setlik 3.
Go to the Setlik 3 station.
Go to the Setlik 2 station.
Go to the Setlik 1 station.
Go to Setlik 3 ops 1.
Go to Setlik 3 ops 2.
Go to Setlik 3 ops 3.
Go to the Pollux asteroid.
Go to the Talax asteroid.
Go to the Schorria asteroid.