Here is the full list of all 15 Planet Driller achievements. It takes around 0-1 hour to unlock all of the achievements on Windows.
Reach 1000m depth.
Reach 500m depth.
Drill Dark Matter to save the Earth.
Buy Ship Insurance.
Buy Explosives.
Buy Beacon.
Reach 100m depth.
Buy a new ship.
Get a new hull.
Buy all upgrades.
Get a new drill.
Get a new fuel tank.
Get a new storage.
Survive Meteor Shower.
Drill your first mineral.