Here is the full list of all 10 Planetship achievements.
Traveled to 100 star systems
Warped through 100 galaxies
Destroyed 50 enemy ships in one playthrough
Outshoot 50 turrets in one playthrough
Light 10 pockets of space gas on fire in one playthrough
Collect 20 books
Have 10 weapons equipped at the same time
Craft 20 items from schematics
Discovered and colonized a habitable planet
You have been witnessed by the omniscient eye