Here is the full list of all 12 Airstrike HD achievements. It takes around 4-5 hours to unlock all of the achievements on Windows.
First operation complete
First Boss down
You’ve upgraded your aircraft
You’ve earned 3 Stars of Valor
Activates any bonus
All operations complete
All bosses down
All buildings within all levels on all operations are down without a single miss
3 Stars of Valor earned for all levels on all missions
You have every single upgrade for all your aircrafts
All bonuses are active
All buildings within a level are down without a single miss