Here is the full list of all 15 Aerial Destruction achievements.
Protect the camp for few minutes in mission "Camp Defence".
Complete all missions of the game.
Have the helicopter shot down 10 times.
Fire a total of 2000 rockets.
Succesfully protect both temples in the "Ancient Ruins" mission.
Destroy the enemy troops and positions in the "Volcanic Island" mission.
Destroy 500 armed pickups.
Successfully support the allied retreating troops in mission "Convoy Support".
Destroy the enemy base in mission "Frontline Assault".
Destroy 300 tanks.
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".