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