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