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