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