Here is the full list of all 15 Aerial Destruction achievements.
Complete all missions of the game.
Protect the camp for few minutes in mission "Camp Defence".
Destroy the enemy troops and positions in the "Volcanic Island" mission.
Have the helicopter shot down 10 times.
Succesfully protect both temples in the "Ancient Ruins" mission.
Fire a total of 2000 rockets.
Successfully support the allied retreating troops in mission "Convoy Support".
Destroy 500 armed pickups.
Destroy 300 tanks.
Destroy the enemy base in mission "Frontline Assault".
Destroy 100 buildings and fortifications.
Blast the bridge in mission "Bridge Destruction".
Kill 1000 mutants.
Buy 5 upgrades for the helicopters.
Defend the outpost in mision "Outpost Invasion".