Here is the full list of all 24 Starion Tactics achievements.
Win five games in a row against the computer in singleplayer
Stack up 50 unused resources during one game
Try all four original factions in either singleplayer or multiplayer
Try all four original factions and each of their four leaders in either singleplayer or multiplayer
Create one of each type of every spaceship for the current faction during one game
Conquer all planets during one singleplayer game (must keep all planets under your rule until end of game)
Play agains three other human players during one multiplayer game
Win a multiplayer game against human players
Win a multiplayer game against human players and conquer all planets (and keep them) during one game
Play 50 singleplayer games
Play 25 multiplayer games
Win a singleplayer or multiplayer game with only one ship left and less than a total of 5 resources
Travel to 50 different planets with your ships during one game
Construct 50 ships during one singleplayer or multiplayer game
Construct 100 ships during one singleplayer or multiplayer game
Win your first singleplayer game
Win your first multiplayer game
Lose 10 multiplayer games in a row
Collect all Artifacts during a singleplayer or multiplayer game
Play out five resource cards or more at the same time during a singleplayer or multiplayer game
Play a singleplayer or multiplayer game with Fog of War turned on
Win a team-based multiplayer game where you at least play with one other team mate against two other opponents
Terraform 10 or more planets during one singleplayer or multiplayer game
Defeat both the Thalan brothers of the Kerran Empire in the same game