Here is the full list of all 50 Star Trek: Infinite achievements.
Win a game as the Cardassian Union.
Win a game as the Federation.
Win a game as the Klingon Empire.
Win a game as the Romulan Star Empire.
Have 20 colonies at the same time.
Integrate Bajor. (Cardassian)
Research 20 anomalies.
Reach 100% Global Tension.
Have 50 Slave Pops. (Cardassian)
Obtain more than 50% of the Balance of Power.
Send 20 gifts.
Recruit Hugh.
Free a system by sabotaging a starbase.
Defeat the Borg as the Federation.
Defeat the Borg as the Klingon Empire.
Defeat the Borg as the Cardassian Union.
Defeat the Borg as the Romulan Star Empire.
Complete the Klingon Tradition Tree.
Complete the Cardassian Tradition Tree.
Complete the Romulan Tradition Tree.
Engage in a war with all 4 Major Powers simultaneously.
Research 100 Technologies.
Reach 95% Empire Stability.
Win a game using Civics.
Win a game via Points.
Complete the Federation Tradition Tree.
Abolish Slavery via the Mission Tree. (Cardassian)
Reject Kahless. (Klingon)
Accept Kahless. (Klingon)
Choose the less-xenophobic path on the Mission Tree. (Romulan)
Reunite with the Vulcans. (Romulan)
Unlock the U.S.S. Enterprise. (Federation)
Fully upgrade the Enterprise. (Federation)
Complete all Mission Tree Nodes for the T.N.G. crew. (Federation)
Choose the Warfare path on the Mission Tree. (Federation)
Overthrow a minor power by staging a coup. (Klingon)
Upgrade a starbase to the highest level.
Build the highest tier of capital building.
Build a starship of the largest possible class.
Control 5 Puppet States as the Romulan Star Empire.
Assimilate a Puppet State as the Romulan Star Empire.
Contact all types of Support Powers.
Help evacuate Romulus. (Federation)
Have a Gaia-class planet that is home to at least 50 Pops.
Complete 25 Spy Missions.
Hire 10 Nausicaan Leaders.
Evacuate Romulus before the Supernova. (Romulan)
Liberate a minor power.
Build a Mining or Research Station inside a Hazard.
Win a war with the Glory to the Empire war goal. (Klingon)