Here is the full list of all 51 R.U.S.E. trophies - there are 38 bronze, 10 silver, 2 gold and 1 platinum.
Complete all trophies
Reach the Elite league.
Complete all operations' bonus objectives
Get to level 100
Complete all the secondary objectives from the Campaign.
Complete all operations
Complete all 1 vs. all operations
Play a game on every map in a ranked match
Play a four-player game with your friends only
Achieve a victory in every ranked match mode
Play a game with a stranger in team ranked match
Defeat all A.I. profiles in 1v1 battle at least in Medium difficulty
Defeat an A.I. in battle mode while playing each nation
Defeat an A.I. in battle mode on Medium difficulty level and in all time periods (39/42/45)
Complete all 1 vs. 1 operations
Complete all cooperative operations
Defeat one of Eugen Systems' team or someone having already unlocked this trophy
Destroy 5000 enemy units
Prevent World War III in Hard difficulty level
Prevent World War III in Medium difficulty level
Prevent World War III in Easy difficulty level
Prevent the Russians from attacking the western allies
Recover Germany's secret weapon plans
Survive to see the German capitulation
Successfully hold Bastogne
Defeat an A.I. In battle mode on Hard difficulty level with Total victory
Defeat an A.I. in battle mode
Complete Operation Market Garden
Complete 50% of the secondary objectives from the Campaign.
Complete the Cotentin Campaign
Use all RUSEs
Successfully land at Utah Beach
Reach the Veteran league.
Capture 50 buildings
Get to level 20
Complete an operation
Play a game with a friend in the same team
Win 5 games with every nation in ranked matches
Defeat an opponent without using the airfield and armor and artillery base camps in a ranked match
Defeat an opponent with air units only in a ranked match
Achieve a winning streak of 10 in ranked matches
Achieve a 200% or more kill rate in a ranked match
Achieve a winning streak of 3 in ranked matches
Achieve a 90% or more survival ratio in a ranked match
Complete the Italian Campaign
Eliminate the last Italian forces
Neutralize the Italian secondary HQ by moving from cover to cover
Throw the Axis out of Africa
Play two RUSEs on the same sector
Successfully hold Kasserine Pass
Seize Colditz Castle