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.
Buy Ship Insurance.
Buy a new ship.
Get a new hull.
Buy all upgrades.
Get a new fuel tank.
Get a new drill.
Drill Dark Matter to save the Earth.
Buy Beacon.
Reach 100m depth.
Reach 500m depth.
Reach 1000m depth.
Get a new storage.
Survive Meteor Shower.
Buy Explosives.
Drill your first mineral.