Complete the following tasks to unlock PlayStation 3 trophy rewards.

Trophy	How to unlock
Burning Up On Re-entry (Bronze)	Defeat Kae in Normal or Hard Arcade Mode before time runs out.
Dancing Days (Bronze)	Defeat Hime in Normal or Hard Arcade Mode before time runs out.
Float Like A Butterfly (Bronze)	Win a fight without taking damage in Arcade Mode.
Keep Your Cool (Bronze)	Win a fight without reaching 150% on the heat gauge in Arcade Mode.
Like A Drum (Bronze)	Land a 30 hit combo or higher in Arcade Mode.
Napoleon Complex (Bronze)	Defeat Nanako in Normal or Hard Arcade Mode before time runs out.
Ode To Joystick (Silver)	Complete Hard Standard Arcade Mode.
On The Tale End (Silver)	Complete both Story modes on Normal or Hard difficulty.
Pew Pew, Iru Iru (Bronze)	Defeat Iru in Normal or Hard Arcade Mode before time runs out.
There Can Only Be One (Bronze)	Defeat Suguri in Normal or Hard Arcade Mode before time runs out.
Time's Up (Bronze)	Win 5 matches in Normal or Hard Arcade Mode with 50 seconds or more left.
What's Your Story (Gold)	Unlock all character story lines on any difficulty.
You'd Better Ice That (Bronze)	Defeat Kyoko in Normal or Hard Arcade Mode before time runs out.
You're Cooked (Bronze)	Defeat Saki in Normal or Hard Arcade Mode before time runs out.