Here is the full list of all 18 Starscape achievements.
Ion weapons
For rescuing 5 missing crew members
For rescuing 10 missing crew members
Zone 1 complete
Defensive shields
For rescuing 15 missing crew members
For rescuing 20 missing crew members
For rescuing 25 missing crew members
Drone weapons
Nova bomb
Particle lasers
Zone 2 complete
Zone 3 complete
Zone 4 complete
Zone 5 complete
Game completed on easy difficulty
Game completed on normal difficulty
Game completed on hard difficulty