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