In Fist of the North Star: Ken’s Rage for the PS3 and Xbox 360, there are several costumes you can unlock for characters in dream mode (aka illusionary mode).
Kenshiro’s Torn Clothes – Beat dream mode with Kenshiro
Raoh’s Torn Clothes – Beat dream mode with Raoh
Rei’s White Hair – Beat legend mode with Rei
Toki’s Overcoming Illness – Beat dream mode with Toki
Some of these characters have to be unlocked, so check out my other guide for unlocking characters in Fist of the North Star: Ken’s Rage.