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.
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 operations complete
All bosses down
First operation complete
First Boss down
You’ve upgraded your aircraft
You’ve earned 3 Stars of Valor
All buildings within a level are down without a single miss
Activates any bonus
All buildings within all levels on all operations are down without a single miss