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