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