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