Here is the full list of all 14 Slice, Dice & Rice trophies - there are 11 bronze, 2 silver and 1 gold.
Beat Story Mode using Kojiro.
Beat Story Mode using Tengu.
Beat Story Mode using Yoketsu.
Beat Story Mode using Benkei.
Beat Story Mode using Tomoe.
Beat Story Mode using Shinigami.
Beat Story Mode using Yojimbo.
Beat Story Mode using Monkey King.
Beat Story mode with all characters in the game without continuing.
Continued 10 times in Story Mode.
Continued 20 times in Story Mode.
Continued 50 times in Story Mode.
Win a match in Duel mode.
Win 10 matches in Duel mode.