Here is the full list of all 39 VEGA Conflict achievements.
Defeat a player's fleet
Complete 50 Blueprint items
Reach Base Level 40
Defend your Bridge during an incursion
Defeat a level 55 VEGA fleet or higher
Store 50,000,000 Antimatter at one time
Store 99,000,000 Helium-3 at one time
Store 100,000,000 Mineral Ore at one time
Dispose 10 fully mined Asteroids
Complete 10 Blueprint items
Upgrade the Bridge to level 5
Complete a Blueprint item
Dispose of a fully mined Asteroid
Defeat a level 33 VEGA fleet or higher
Store 500,000 Antimatter at one time
Store 1,000,000 Helium-3 at one time
Reach Base Level 21
Upgrade the Bridge to level 3
Reach Base Level 10
Store 25,000 Antimatter at one time
Store 1,000,000 Mineral Ore at one time
Defeat a level 10 Cargo fleet or higher
Upgrade the Bridge to level 2
Claim 25 Mission Rewards
Store 50,000 Helium-3 at one time
Store 50,000 Mineral Ore at one time
Claim 5 Mission Rewards
Dispose 100 fully mined Asteroids
Defeat a player's base
Defeat 10 player bases
Defeat 100 player bases
Reach 15 or more Medals
Reach 50 or more Medals
Reach 150 or more Medals
Defeat 15 player fleets
Defeat 75 player fleets
Defend your Bridge during an incursion 25 times
Defend your Bridge during an incursion 100 times
Claim 75 Mission Rewards