Here is the full list of all 21 ADK DAMASHII trophies - there are 21 bronze.
Twinkle Star Sprites: Score five Perfect bonuses in a row.
Twinkle Star Sprites: Clear a Boss Attack without losing a life point.
Aggressors of Dark Kombat: Clear the final stage.
Aggressors of Dark Kombat: As Kisarah, knock out Joe (cannot be unlocked in VS mode).
Aggressors of Dark Kombat: Score 7,000 points or more in a single fight.
Aggressors of Dark Kombat: Knock out an opponent with a Crazy Attack (GanGan) (cannot be unlocked in VS mode).
Aggressors of Dark Kombat: KO an opponent with a weapon thrown to you by the crowd (cannot be unlocked in VS mode).
Ninja Master's: Hao Ninpo Cho: Clear Arcade mode, defeating Nobunaga.
Ninja Master's: Hao Ninpo Cho: Win a match with a desperation move.
Ninja Master's: Hao Ninpo Cho: Win a match with a finisher.
Ninja Master's: Hao Ninpo Cho: Inflict 50% or more damage in a single combo.
Ninja Combat: Clear a stage without losing a life.
Ninja Combat: Defeat Genyousai and clear the game.
Ninja Combat: Clear the game as one of the optional, unlockable characters.
Ninja Combat: Defeat 25 enemies in a row without taking a hit.
Ninja Commando: Defeat Spider in World War II.
Ninja Commando: Clear the Japan stage.
Ninja Commando: Clear the Ancient stage.
Twinkle Star Sprites: Clear Story Mode.
Twinkle Star Sprites: Defeat your opponent with an Extra Attack.
Twinkle Star Sprites: Score a Perfect chain while in Fever status.