Here is the full list of all 35 Anomaly Korea achievements.
Fully upgrade a unit of each type
In mission 12, destroy all energy relays without your squad catching fire, on Advanced difficulty or above
Complete mission 9 not triggering any airstrikes, on Advanced difficulty or above
Complete each of the sectors in mission 8 in under 1 min 50 sec, on Advanced difficulty or above
Destroy 10 towers in 10 seconds
Complete mission 7 buying just a single unit, on Advanced difficulty or above
Complete mission 4 using only unupgraded tanks, on Advanced difficulty or above
Build a squad of 6 units
Complete mission 3 attacking 5 scorchers head-on, on Advanced difficulty or above
Complete all Art Of War Trials
Complete mission 2 without losing any units, without using Boost, on Advanced difficulty or above
Earn all gold medals in the game
Complete mission 6 destroying all towers, on Advanced difficulty or above
Complete mission 1 without losing any units, with 4 Boosts remaining, on Advanced difficulty or above
Complete the campaign
Complete the campaign on Hardcore difficulty
In mission 11, destroy every tower in each special zone , on Advanced difficulty or above
Destroy 1000 towers
Complete mission 10 without activating a single energizer, on Advanced difficulty or above
Earn 500 000 points
Use a supply unit to spawn 10 abilities
Fool a hacker into attacking a decoy
Destroy each tower type at least once
Use every ability 5 times each
Collect $10000
Purchase 10 units
Complete mission 5 without losing your Shielder, on Advanced difficulty or above
Use abilities 100 times
Use Horangi Tank's special attack 10 times
Collect $2500
Earn 5 gold medals
Destroy 100 towers
Upgrade a unit
Collect 10 abilities
Destroy 5 towers