Here is the full list of all 38 Operation: New Earth achievements.
Reach Headquarter Level 15
Gather 100 million resources from resource sectors
Obtain a Level 40 Hero
Defeat 50 Alien Sectors
Construct 3 Factories
Reach Headquarter Level 10
Help your Alliance 1,000 times
Construct 3 Barracks
Obtain a Level 30 Hero
Complete 250 Objectives
Gather 1 million resources from resource sectors
Complete 10 Drone Missions
Obtain a Level 20 Hero
Capture 1,000 Sectors for an Alliance.
Defeat 10 Players in Combat
Obtain a Level 10 Hero
Reach Headquarter Level 5
Join an Alliance
Build 4 Turrets
Upgrade 25 dropships
Reach Headquarter Level 20
Earn 10 Silver Rewards in Daily Events
Earn 50 Silver Rewards in Daily Events
Earn 25 Gold Rewards in Daily Events
Earn 100 Gold Rewards in Daily Events
Earn 50 Platinum Rewards in Daily Events
Earn 250 Platinum Rewards in Daily Events
Complete 1,000 Objectives
Obtain a Level 50 Hero
Obtain a Level 60 Hero
Obtain a Level 70 Hero
Defeat 100 Players in Combat
Defeat 250 Alien Sectors
Research Titan Tanks
Research Advanced Interceptors
Research Shock Troopers
Research Jet Troopers
Complete 250 Drone Missions