Here is the full list of all 51 Apache: Air Assault trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Win one Squad Operations mission in online Co-op mode
Complete a landing at a landing zone in Realistic or Veteran difficulty
Complete a specific mission objective in "City on Fire"
Unlock twenty decals
Complete specific mission objective in "Ship of Fools"
Complete specific mission objective in "Rain in the Desert"
Complete specific mission objective in "A Diamond in the Rough"
Complete free flight with each helicopter
Complete a specific mission objective in "Sunshine Units"
Complete any mission without dying on any difficulty
Complete a specific mission objective in "Over and Out"
Use satellite view in each location
Complete specific mission objective in "Turkey Shoot"
Kill 9 enemy air units with the FIM-92 Stinger missiles
Complete a specific mission objective in "On the X"
Kill 114 enemy ground units with the AGM 114 Hellfire missiles
Kill 30 enemy ground units with the 30mm cannon
Do a barrel roll!
Watch a replay
Complete a specific mission objective in "The Gang’s All Here"
Play one mission entirely in cockpit view
Avoid 15 incoming missiles
Kill 70 enemy ground units with the Hydra 70 rockets
Kill 10 enemy infantry in FLIR view
Unlock all chapters
Complete a specific mission objective in "The Sky is Burning"
Start "The Sky is Burning" mission
Complete “Takeoff” mission
Post scores to all Leaderboards
Play the Credits
Earn all available Trophies for Apache: Air Assault
Complete a specific mission objective in "Whiteout" in Local Co-op mode
Complete a specific mission objective in "The River Deep" in Local Co-op mode
Complete a specific mission objective in "Lord of War" in Local Co-op mode
Complete a specific mission objective in "Sharks in the Water"
Complete a specific mission objective in "Holidays in Hell" in Local Co-op mode
Win the “Domination” mission in Squad Operations
Complete "A Damn Shame"
Win all Squad Operations missions in any flight mode
Finish Tazirstan Chapter on Realistic or Veteran difficulty
Finish Africa Chapter on Realistic or Veteran difficulty
Finish Amazon Chapter on Realistic or Veteran difficulty
Complete the Campaign
Complete the Campaign and Squad Operations
Win any 3 missions from the Campaign in Local Co-op on any difficulty
Complete all secondary objectives in Campaign mode
Kill 8 ground units with one Hellfire ripple shot
Enable setting “Control Turret in Zoom” and kill 5 enemy infantry by gun in this mode
Win any mission on Veteran difficulty
Using the 30mm cannon, kill 20 enemy infantry without letting go of the trigger
Unlock all skins for all helicopters