Here is the full list of all 90 Terra Invicta achievements.
Win as the Resistance
Win on Normal Difficulty
Colonize Uranus
Colonize Neptune
Control a nation that completes a nuclear weapons program
Colonize Mimas
Colonize Saturn
Control a fleet with over 9000 combat strength
Build a ship with 4G combat acceleration
Control 42 Habs
Build a Titan
Colonize Jupiter
Research all Techs
Build a ship with at least 1000 kps
Refit an existing ship
Learn your faction's victory conditions
Colonize Io
Colonize Europa
Colonize Luna
Destroy a Mothership
Steal a ship from another faction
Conduct an orbital bombardment
Research Exotics
Capture an Alien
Research Pherocytes
Upgrade a ship class
Steal a station from another faction
Lose a space battle by having all of your ships destroyed
Trigger nuclear winter
Destroy an Alien army
Fire a nuclear barrage
Assault a Hab with marines
Initiate your first interplanetary fleet transfer
Assemble a fleet of 10 ships
Sabotage a Faction's research
Colonize Mercury
Control 6 Councilors and have 2 turned Councilors
Recruit a full council of 6 councilors
Kill an Alien
Successfully Purge an Executive CP from another Faction
Destroy a megafauna
Win a space battle without losing a ship
Win a space battle
Have a councilor equip 25 stars' worth of orgs
Assassinate a councilor in space
Have one of your ships stolen by another faction
Kill an opposing councilor
Build your first ship
Colonize Mars
Impose Regime Change on a nation
Have one of your countries declare war on another country
Research Alien Movements
Steal a technology
Build a habitat on the surface of a spacebody
Capture a Enemy Councilor
Complete a Trade with another Faction
Turn an opposing councilor
Investigate an enemy counselor and learn their loyalty
Build a habitat in space
Augment your Councilor
Complete a successful Coup d'Etat mission
Send a councilor into hiding
Obtain control over a nation
Investigate an alien crash site
Start your first campaign
Win as Humanity First
Win as Project Exodus
Win as the Initiative
Win as the Academy
Win as the Protectorate
Win as the Servants
Win on Veteran Difficulty
Win on Brutal Difficulty
Win with all 7 factions on normal or greater difficulty
Have one of your stations stolen by another faction
Colonize Venus
Build a station at a Lagrange Point
Colonize Ceres
Colonize Miranda
Colonize Pluto
Colonize Haumea
Colonize all Major Planets
Control a launch facility on earth
Control 20 Nations
Control a Megafauna
Win as Resistance after Servant or Protectorate Win
Fail a mission with where you have greater than 99% chance of success
Escape an alien fleet in pre-combat
Cause Earth's sea level to rise 2cm
One of your councilors dies of old age