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