Here is the full list of all 66 Out There: Oceans of Time achievements.
Build a module
Recruit an alien
Discover an Epsilon System
Build a technology
Complete an expedition
End a Village or Mining/Plant area expedition
End an expedition without completing it
Recruit all alien races at least once
Learn all the alien words
Travel through a black hole
Terraform a planet
Turn a star into a black hole
Create a synergy between two technologies
Obtain a Shield Generator
Probe a star for fuel
Fully scan a planet
Obtain some omega using the refinery
Reach a morale below 5
Maintain morale below 5 for five turns
Maintain morale above 5 for five turns
Make a trade
First dismissal
Recruit in a big city
Recruit in a small village
Choose to recruit
Nyx reaches her full potential
Sergeï reaches his full potential
A crew member reaches their full potential
A crew member reaches the "master" rank in their specialization
Start a new game after a game over
Have a full greenhouse
Lose a crew member during an expedition
Activate a storage array
Study the Language of the Gods
Complete the tutorial main steps
Complete the Vanguard's repairs
No way to fix the hull
No more fuel available
No more oxygen available
Witness Nyx' death
Witness Sergeï's death
Reach the first triangulation beacon
Reach the second triangulation beacon
Reach the third triangulation beacon
Start your journey
Utilize the module blueprint offered by Sergeï
Utilize the technology blueprint offered by a Forager
Watch the credits till the end