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