Here is the full list of all 16 S.O.L Search of Light achievements.
Bring a new robot to your base.
Discover your first puzzle.
Find one of the robot recipes.
Buy your first item in a shop within the black hole.
Buy 10 items in the shop within the black hole.
You created your first upgrade.
You created 10 upgrades.
You created 30 upgrades.
Unlock an additional wall.
Unlock all walls.
Build your first sentry turret.
Unlock all sentry turrets.
Your base has been destroyed.
Reach Depth level 3.
Reach Depth level 10.
Reach Depth level 25.