Here is the full list of all 32 Dynasty Warriors: Strikeforce trophies - there are 12 bronze, 15 silver, 4 gold and 1 platinum.
Gained all Trophies.
Collected all Treasures.
Traded Officer with another player for the first time.
Collected all Officer Cards.
Used all Card Tactics.
Collected all Weapons.
Completed all Quests.
Completed Wu's Story.
Collected all Legends.
Collected all Orbs.
Upgraded all City Facilities to maximum.
Collected all Chi Skills.
Completed Wei's Story.
Completed Chapter 6 in any Story.
Reached Level 50.
Completed Shu's Story.
Completed Chapter 4 in any Story.
Completed first online Quest.
Connected to Online City for the first time.
Completed Chapter 3 in any Story.
Completed Chapter 2 in any Story.
Issued first command to Allied Officer.
Used first Card Tactic.
Completed Chapter 1 in any Story.
Made first Orb.
Acquired first Chi Skill.
Powered up first weapon.
Made first weapon.
Defeated first Weaponry.
Completed first Quest.
Defeated first Officer.
Defeated first rank and file soldier.