Here is the full list of all 32 DreadStar: The Quest for Revenge achievements.
Get to max level (40)
Get to level 30
Get to level 20
Beat all sectors without getting hit
Collect all armors and shields
Collect all special items
Collect all engines
Collect all weapons
Collect 20000 gems
Rescue an enemy
Rescue your father
Explore the unknown and come out alive in brutal difficulty
Explore the unknown and come out alive in hard difficulty
Beat the Mazinger sector in brutal difficulty
Beat the Betelgeuse sector in brutal difficulty
Beat the Betelgeuse sector in hard difficulty
Beat the Cylon sector in brutal difficulty
Beat the Cylon sector in hard difficulty
Beat the Faraway sector in brutal difficulty
Beat the Mazinger sector in hard difficulty
Explore the unknown and come out alive in normal difficulty
Beat the Mazinger sector in normal difficulty
Get to level 10
Beat the Betelgeuse sector in normal difficulty
Beat the Faraway sector in hard difficulty
Beat the Aldebaran sector in normal difficulty
Beat the Cylon sector in normal difficulty
Beat the Faraway sector in normal difficulty
Achieve a MAX combo
Warp out of a level