Here is the full list of all 11 Galactic Conquest Battle Infinity achievements.
Complete the Getting Started Tutorial
Defeat 30 Enemy units
Collect 10.000,000 resources
Collect 1.000,000 Rockrium
Collect 1.000,000 Metalium
Defeat 100 Enemy Units
Collect 100,000 Ethernal
Destroy the defenses of the Leader Alliance
Defeat 1000 Leader Alliance Units
Defeat 10.000 Leader Alliance Units
Collect 2.000,000 Foodemit