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".
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.
Successfully support the allied retreating troops in mission "Convoy Support".
Destroy 500 armed pickups.
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".