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