Here is the full list of all 93 Endless Space - there are Collection achievements.
Play for 10 000 turns
Travel 1 000 000 parsecs in all your games
Win with the Horatio
As Horatio, own 10 tiny planets with at least 10 population
Win with the Harmony
As the Harmony, purify 10 systems in a game
Win with the Sophons
As Sophon, receive 30 technologies from others and give at least 30 technologies to others in a single game
Win with the Pilgrims
Win a Diplomatic Victory
As Pilgrims, colonize a system with a Fleet Errant containing Factories of the Faithful
Kill 50 populations via Bombardment
Destroy 50 improvements via Bombardment
Travel 100 000 parsecs in all your games
Destroy 500 Fighters and Bombers
Destroy 200 Fighters and Bombers
Destroy 15 fleets within a turn
Destroy 50 Fighters and Bombers
Destroy 10 fleets within a turn
Play for 1 000 turns
Kill 200 troops with collateral damage
Win with the Hissho
Kill 50 troops with collateral damage
As Hissho, build 1 000 ships on systems with Wargame Center while Bushido is active
Travel 10 000 parsecs in all your games
Kill 10 troops with collateral damage
Win with the Automatons
As Automaton, have 10 systems with the max FIDS bonus from Orbital Platforms
Use every Battle Action of a Hero at least once
Win with the Amoeba
As Amoeba, win a game without building any ships containing weapons
Destroy 10 colony ships using Battle Stasis
Win with an Expansion Victory with the Sowers when you have the Endless Hero
Win with the Sowers
As Sowers, win a game without building any Food improvement
Hire the two romantically involved heroes, the spy and the general, in the same game.
Clone Galdos AI - by Adder
Hire the Endless Hero
Win a Score Victory
Terraform a planet to your home planet type - by EvilTactician
As Cravers, have your home planet not depleted at turn 80, without having lost your home system
Use every fleet formation
Use every fleet targeting option
Win a Supremacy Victory with the Cravers
Explore 100% of a huge galaxy in less than 50 turns
Explore 75% of a huge galaxy in less than 40 turns
Win with the Cravers
Win with a Random Faction
Win with a Custom Faction
Create a Custom Faction with 0 points or less and win a game with it
Create a Custom Faction with -100 points or less and win a game with it
Create a Custom Faction with -195 points or less and win a game with it
Create a custom faction with -195 points or less, and win a game with it on Endless difficulty
Win a Supremacy Victory
Be the only remaining empire in a game with 8 starting empires - by Monthar
Have a Trade Route with every other system in the galaxy - by Nosferatiel
Successfully carry out 5 land invasions during the same turn
Win a Supremacy Victory by capturing 4 home worlds within the same turn
As United Empire or Sheredyn, own at least 20 deposits of one of the Strategic Resources in a single game
Win an Expansion Victory
Win an Economic Victory
Be the faction with the highest score at turn 50 playing on hard or higher difficulty
Destroy 5 enemy fleets within a turn
Have 1 system which produces more than 1 000 science
Build 500 improvements in your entire Empire
Envelop another empire's system in your Influence Area - by FreeMarket
Have 1 system which produces more than 1 000 dust
Have 1 system which produces more than 1 000 industry
Build every Improvement in your home system - by Divine_Moments_of_Truth
Have 1 system which produces more than 1 000 food
Level up a Hero to level 20
Build 250 improvements in your entire Empire
Win a Wonder Victory
Build 100 improvements in your entire Empire
Be the faction with the highest score at turn 100 playing on impossible or higher difficulty
Win with the Sheredyn
Level up a Hero to level 10
Be the faction with the highest score at turn 25 playing on hard or higher difficulty
Colonize a Garden of Eden - by groovytadpole
Explore 25% of a huge galaxy in less than 25 turns
Play for 10 turns
Win with the United Empire
Win a Science Victory
Win a game in Normal or higher difficulty against AI
Win a game in Hard or higher difficulty against AI
Win a game in Serious or higher difficulty against AI
Win a game in Impossible or higher difficulty against AI
Win a game in "Endless" difficulty against AI
…the galaxy as the Archivist, Emlek Tarosh, fulfills its duty.
Unlock the whole Galactic Warfare tech tree in a single game
Unlock the whole Applied Sciences tech tree in a single game
Unlock the whole Diplomacy & Trading tech tree in a single game
Unlock the whole Exploration & Expansion tech tree in a single game