Here is the full list of all 27 Nebula Online achievements.
Obtain 500 credits
Complete 1 contract
Craft 1 module
Get 2 level
Change the quality of one of your companions to ordinary
Obtain 10 ores
Destroy 5 O’Shali ships
Fly 1000 AU
Destroy enemy
Destroy enemy ship of another player in you race’s solar system
Destroy enemy ship of another player in a solar system of another race
Repair 50000 points of your ship’s damaged covering
Damage enemy ship’s housing by 50000 points
Capture 1 solar system
Obtain 10 nebula elements
Destroy 5 Space pirates ships
Destroy 5 Llerey ships
Join a coalition
Get an officer rank in the coalition
Accept 1 person to the coalition
Obtain 100 neutron
Became the admiral of the race
Became the high commander of the race
Build a turret
Build a fortification
Build an outpost
Visit 10 systems