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