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