Here is the full list of all 27 Bandit Six: Combined Arms trophies - there are 10 bronze, 10 silver, 6 gold and 1 platinum.
Be victorious and crush all the enemy forces
Destroy all the landing craft in a level before they deploy
Complete every level with a rank of three stars
Get all the generals to safety
Get a rank of three stars on 5 levels
Complete a level using only the mortar and artillery
Destroy all the transport helicopters in a level before they land
Upgrade all of your guns on one level
Get a rank of three stars outside of basic training
Shoot down 5 helicopters in one level with the mortar
Complete a level without losing a single gun in a level after basic training
Sink an enemy destroyer
Shoot down a helicopter with the artillery
Destroy 15 enemies in a level with the machine gun
Complete all the missions with a rank of three stars
Buy 3 different power ups
Get maximum guns and armour
Complete all the timed missions
Complete a mission with no damage
Complete all the protection missions without losing a single bomber
Get a kill of every type of enemy plane
Complete ten missions with a rank of three stars
Get a kill streak of at least 5
Upgrade any gun to the maximum cooling level
Upgrade any gun to the maximum rate of fire
Complete a mission with a rank of three stars outside of basic training
Upgrade any gun to inflict the maximun level of damage