Here is the full list of all 57 IXION achievements.
The base game contains 56 achievements, and there is 1 DLC pack containing 1 achievements.
Finish the chain of events concerning the strange spheres
Have an Observatory in each of the six sectors
Reach tier 2 of the Recycling specialization in a sector
Reach tier 2 of the Industry specialization in a sector
Build a Hull Temple
Have 5 Mining Ships active at the same time
Discover the ruins of the genetic facility
Have 5 accidents within a single cycle
Restore the crew's trust after reaching 1%
Finish the game by following the path of genetic conatus
Transfer 300 resources between sectors in a single cycle
Research every single upgrade for the Drone Bay
Destroy the Piranesi before it destroys a planet
Finish the game by emancipating yourself from DOLOS
The borzoi survives the journey
Replace Edden with the P.A. of the Protagoras
Have a Train Station in each of the six sectors
Finish Chapter 4
Visit 15 planets
Build a Health Center
Build an Exo-fighting Dome
Finish Chapter 3
Build a memorial in each of the six sectors
Reach 3079 population
Unlock all sectors
Build all solar panels
Have the Tiqqun's hull integrity erode below 5% and survive
Reduce all audio sliders to 0 in the settings menu
Adopt the borzoi
Implement the Naomi protocol 3 times
Free ZY6073
Replace the last original piece of hull through EVA repairs
Destroy 200 buildings in a single playthrough
Reach tier 2 of the Food specialization in a sector
Finish Chapter 2
Convert waste into alloy, electronics or polymer
Implement a new decree
Train your first colonists
Reach 1000 population
Use exoskeletons to ensure no crew members die on Fargo 39
Entertain your crew members
Finish Chapter 1
Use the body of Oulixes to access the Thiaki
Find two large resource deposits using a single probe
Awaken a human from cryogenic sleep
Discover Outer Hope during the prologue
Skip a transmission within 1 second of it starting
Unlock a sector
Finish the prologue
Have a member of Tiqqun compose a rap song about the Administrator
Experience a blackout for the tenth time
Fail to make it past the prologue
Have fires in 20 buildings at the same time
Reach tier 2 of the Population specialization in a sector
Have every single sector in a work status of at least "Overwork"
Have a Water Treatment Center in a sector with the Body Recycling decree in effect
Complete Challenge mode