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