Here is the full list of all 40 Star Story: The Horizon Escape achievements.
You survived, got out of the planet and finished the game!
Set out for the generation data bank
Followed the SOS signal
Received 50 damage out of battle
Solved 50 problems with the use of gadgets
Defeated three bandits of each kind
Defeated 50 enemies in battle
Defeated three shrimps of each kind
TAKE 250 DAMAGE IN BATTLES
Checked 10 plants in search for resources
Solved 10 problems with the use of gadgets
Fled from trouble 10 times
Defeated 10 enemies in battle
Went of to search for your crashed ship
Get out of the derelict spaceship alive
Acquire a character stat for the first time