Here is the full list of all 16 ASTROKILL achievements.
Destroy an enemy ship.
Accumulate 10 kills.
Kill an ejected pilot.
Kill 10 unarmed pilots.
Kill 20 hapless pilots.
Kill 100 loved and respected pilots.
Accumulate 20 kills.
Accumulate 100 kills.
Complete 1 secondary objective.
Complete 20 secondary objectives.
Accumulate 40 kills.
Complete 10 secondary objectives.
Complete 100 secondary objectives.
Complete the Colonists mission.
Complete the Firefight mission.
Spawn 9 times.