There are 51 Trophies that can be earned in this title.

Bronze

First Captain
Complete 50% of the secondary objectives from the Campaign.

Competitor
Complete an operation

Achiever
Complete all operations' bonus objectives

Recruit
Defeat an A.I. in battle mode

Trooper
Defeat an A.I. in battle mode on Medium difficulty and in all time periods (39/42/45)

Parasite
Capture 50 buildings

Ambassador
Defeat an A.I. in battle mode while playing each nation

Collector
Defeat all A.I. profiles in 1v1 battles at least in Medium difficulty

Cunning
Use all RUSEs

Destroyer
Destroy 5000 enemy units

Regular
Got to level 20

Veteran
Reach the Veteran league.

Elite
Reach the Elite league.

Eug-virus
Defeat one of Eugen Systems' team of someone having already unlocked this trophy

Best Enemies
Play a four-player game with your friends only

Atlas
Play a game on every map in a ranked match

Got Your Back!
Play a game with a friend in the same team

Occaisional Allies
Play a game with a stranger in team ranked match

Battle Hardened
Achieve a victory in every ranked match mode

One Hand behind My Back
Defeat an opponent without using the airfield and armor and artillery base camps in a ranked match

Top Gun
Defeat an opponent with air units only in a ranked match

Invincible
Achieve a 90% or more survival ratio in a ranked match

Who's Your Daddy?
Achieve a 200% or more kill rate in a ranked match

Silver

Hard Boiled
Complete all the secondary objectives from the Campaign.

Best Friend
Complete all cooperative operations

One vs. All
Complete all 1 vs. all operations

Nemesis
Complete all 1 vs. 1 operations

Staff Officer
Complete all operations

Ace
Defeat an A.I. in battle mode on Hard difficulty level with Total victory

Mercenary
Win 5 games with every nation in ranked matches

The Terrible
Achieve a winning streak of 3 in ranked matches

The Great
Achieve a winning streak of 10 in ranked matches

Gold

War God
Got to level 100

17 Secret

http://www.ps3trophies.org/game/ruse/trophies/