Here is the full list of all 27 Heavy Fire: Afghanistan achievements. It takes around 6-8 hours to unlock all of the achievements on Windows.
For finishing all levels on veteran difficulty
For completing operation 12
For finishing all levels on rookie difficulty
For completing operation 10
For 300 headshots in total
For 3000 kills in total
For chain of 10 kills
For completing operation 8
For chain of 7 kills
500 destructible objects destroyed in total
For completing operation 6
For finishing any mission with accuracy 5% or lower
For completing operation 4
250 destructible objects destroyed in total
For 100 headshots in total
For chain of 5 kills
For finishing any mission without being hit
For 1000 kills in total
For 25 000 fired bullets
For 20 000 fired bullets
100 destructible objects destroyed in total
For 15 000 fired bullets
For 500 kills in total
For 50 headshots in total
For completing operation 2
For finishing any mission with only one health bar left
For finishing any mission with accuracy 50% or higher