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