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