Here is the full list of all 42 Anomaly: Warzone Earth achievements. It takes around 25-30 hours to unlock all of the achievements on Windows.
Earn every Squad Assault Mode gold medal
Destroy 5000 towers
Complete a mission with squad composed of 6 different units
Earn every gold medal during Story Mode
Fully upgrade every unit type 2 times each
Use one Airstrike ability to kill 4 towers
Complete the last Boss stage while allowing at most 6 respawn waves in Advanced difficulty mode
Earn 10 gold Directness medals
Complete mission 13 while letting at least 7 artillery strikes hit your squad in Advanced difficulty mode
Complete mission 12 while killing at most 44 towers in Advanced difficulty mode
Complete Tokyo Raid
Earn 50.000 $
Complete mission 11 without letting Energizer towers respawn other towers in Advanced difficulty mode
Complete mission 10 without using Air Strike ability in Advanced difficulty mode
Complete mission 8 with transporter not being hit in Advanced difficulty mode
Complete a mission without using Repair ability
Complete mission 6 while beating timed part in less than 190 seconds in Advanced difficulty mode
Complete mission 7 without a single unit upgrade in Advanced difficulty mode
Complete mission 1 having 7 Repair ability charges in Advanced difficulty mode
Use one Repair ability to fix 400 damage
Complete Baghdad Mayhem
Earn 10 gold Efficiency medals
Complete mission 5 having 20 ability charges in Advanced difficulty mode
Complete mission 4 without using Decoy ability in Advanced difficulty mode
Complete mission 3 while moving your squad in front each Scorcher in Advanced difficulty mode
Complete Story Mode
Earn 5 gold Ruthlessness medals
Complete mission 2 with every tower killed in Advanced difficulty mode
Complete Tokyo chapter of Story Mode
Destroy every tower type 10 times each
Complete mission 9 without Hero getting knocked down in Advanced difficulty mode
Use every ability 10 times each
Use 4 different abilities simultaneously
Use one Smoke Screen ability to protect 6 units
Complete Baghdad chapter of Story Mode
Protect deployed Decoy with Smoke Screen
Fully upgrade a unit
Collect 14 Carusaurum caches
Collect 20 abilities
Destroy 10 towers
Earn a gold medal
Repair 5 units