Here is the full list of all 30 Planetbase achievements.
Build a base with at least 250 colonists in less that 60 days
Build a base with at least 100 colonists in less that 30 days
Complete all milestones on all planets
Build monoliths on all planets
Build a base with at least 100 colonists on the moon planet
Land on the gas giant moon
Build a base with at least 100 colonists on the frozen planet
Land on the frozen planet
Build a base with at least 350 colonists
Have at least 20 armed Guards in your base at any given time
Build a base with at least 100 colonists, with at least 25% of Bots
Have at least 1000 Coins in your base at any given time
Build a GM tomato and GM onion pad
Have 5 operational Telescopes at any given time
Have 3 operational lasers, telescopes and telescope consoles at any given time
Have at least 6 Driller Bots and 2 operational Mines at any given time
Build a base with at least 100 colonists on the desert planet
Build a base with at least 100 colonists and 95% welfare ratio
Fill a Massive Storage to more than 90%
Build all massive structures
Have at least 20 Vegetable boxes in your base at any given time
Complete tutorial
Build two structures and connect them
Land on the desert planet