Successfully complete one of the following tasks to get a trophy:

Without Warning (Bronze): Destroy Radar emplacement.
Saber Beats SAM (Bronze): Disable the SAM sites.
Tide's Out (Bronze): Successfully hold the beachhead.
Runway Relief (Bronze): Capture the airfield.
Sandman's Survivors (Bronze): Extract the downed air crew.
Fly Away Peter, Fly Away Paul (Bronze): Get to the extraction chopper.
Resource Management (Bronze): Secure the fuel depot.
Heroic Rescue (Bronze): Rescue the hostages.
Uphill Struggle (Bronze): Eliminate the PLA mortar site.
Bug Out (Bronze): Reach the extraction point.
Ship It (Bronze): Assault the Naval base.
Shock and Awe (Bronze): Call in your first air strike.
Hard Rain (Bronze): Call in your first artillery barrage.
Squad Slayer (Bronze): Kill or incapacitate 25 enemies.
Skirinka Island Tour (Silver): Find the PLA helicopter and fly it around Skirinka Island in Dragon Rising.
Ghost Ops (Silver): Eliminate the PLA Commander in Blinding the Dragon.
Get Creative (Silver): Destroy the PLA APC at the top of the beach in United We Stand.
Hip Shooter (Silver): Destroy the fleeing PLA transport in Eagle Offense.
Hitchhiker (Silver): Destroy the PLA armored units around the village in Powder Trail.
Fuel the Fire (Silver): Destroy all the PLA fuel trucks in Hip Shot.
Ruthless Efficiency (Silver): Eliminate the remaining troops on the second line with one mortar barrage in Bleeding Edge.
Perfect Rescue (Silver): All hostages must survive in Looking for Lois.
Keep 'em Rolling (Silver): Ensure all Abrams reach the supporting fire position in Trumpet's Sound.
Two Birds, One Stone (Silver): Eliminate Han and the radio station with one JDAM in Decapitation.
Vertical Envelopment (Silver): Pilot an MH-60S safely to the designated landing zone in Dragon Fury.
Low Blow (Silver): Kill an enemy vehicle with an AT mine.
Scrap Metal (Silver): Kill an enemy vehicle with an AT weapon.
Clear Skies (Silver): Kill an enemy vehicle with an AA weapon.
The Sky is Falling (Silver): Kill an enemy with a helicopter without using its weapons.
Platoon Pounder (Silver): Kill or incapacitate 50 enemies.
Unbloodied Hands (Silver): Complete a mission without directly killing anyone yourself.
All Patched Up (Silver): Apply a field dressing to an injured friend in Co-op.
Florence Nightingale Award (Silver): Apply the field dressing to other wounded soldiers 20 times.
Dragon Rising (Gold): Complete the campaign on any difficulty.
Dragon Rising - Hardcore (Gold): Complete the campaign on Hardcore difficulty.
Company Killer (Gold): Kill or incapacitate 100 enemies.
Platinum Trophy (Platinum): All Trophies Collected.