Capes
Like the mask idea, it would be something that Tori's would wear, and could fall off during battle. Also, since real capes are made of cloth, they could be affected by the Tori's movements and actions, while only being purely aesthetical and providing no protection or upper hand in battle. In addition to all that, they could be changed by textures to show your name and/or clan, or just be cool looking tapestries that you wear