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.
Collected all Officer Cards.
Used all Card Tactics.
Collected all Weapons.
Collected all Chi Skills.
Collected all Orbs.
Completed all Quests.
Traded Officer with another player for the first time.
Completed Shu's Story.
Collected all Legends.
Completed Wei's Story.
Upgraded all City Facilities to maximum.
Reached Level 50.
Completed Chapter 6 in any Story.
Completed Wu's Story.
Completed Chapter 4 in any Story.
Completed Chapter 3 in any Story.
Completed Chapter 2 in any Story.
Completed first online Quest.
Connected to Online City for the first time.
Completed Chapter 1 in any Story.
Acquired first Chi Skill.
Used first Card Tactic.
Issued first command to Allied Officer.
Made first weapon.
Made first Orb.
Powered up first weapon.
Completed first Quest.
Defeated first Officer.
Defeated first Weaponry.
Defeated first rank and file soldier.