Here is the full list of all 17 Into the Stars achievements.
Defeat a Menkhet Pirate
Discovered a new module
Construct a civilian building
Mine a planet until the timer reaches 0
Explore a new planet for the first time
Begin your journey
Kill a Skorn ship in combat
Found a survivor to replace a lost crew member
Completed the journey to Titus Nova
Explore an Ark wreckage
Explore a Skorn wreckage
Find a Storage Container hidden in the world
Reach Titus Nova on Explorer or higher difficulty
Reach Titus Nova on Normal or higher difficulty
Reach Titus Nova on Pursuit Difficulty
Reach Titus Nova and receive an A or higher Grade
Perform a trade with an Alien Race