Here is the full list of all 21 History Legends of War: Patton (EU) trophies - there are 6 bronze, 6 silver, 8 gold and 1 platinum.
Complete all trophies
Complete fourth operation without casualties (Campaign Mode)
Kill 15 German soldiers with knife (Campaign Mode)
Complete the game (Campaign Mode)
Get 10 heroic victories (Campaign Mode)
Unlock all types of units (Campaign Mode)
Complete third operation (Campaign Mode)
Make first upgrade (Campaign Mode)
Get 5 heroic victories (Campaign Mode)
Complete the Third Army (Campaign Mode)
Destroy 200 German units (Campaign Mode)
Complete second operation (Campaign Mode)
Max out any of Patton's Skills (Campaign Mode)
Recruit first aircraft (Campaign Mode)
Destroy 100 German units (Campaign Mode)
Complete first operation (Campaign Mode)
Destroy 50 German units (Campaign Mode)
Recruit first bazooka (Campaign Mode)
Recruit first tank (Campaign Mode)
Complete first mission (Campaign Mode)
Complete tutorial