Here is the full list of all 48 Fist of the North Star: Ken's Rage trophies - there are 37 bronze, 8 silver, 2 gold and 1 platinum.
Obtain all of the Trophies within the game.
Put 5,000 enemies out of their misery with Hokuto Ujoken.
Complete Dream Mode as Raoh.
Complete Dream Mode as Thouzer.
Obliterate 5,000 enemies with Nanto Seiken.
Complete Dream Mode as Mamiya.
Complete Dream Mode as Rei.
Complete Dream Mode as Toki.
Destroy 5,000 enemies with Hokuto Shinken.
Complete Dream Mode as Shin.
Complete Dream Mode as Kenshiro.
Complete Dream Mode as Jagi.
Defeat 10,000 enemies.
Complete Legend Mode as Raoh.
Defeat Kenshiro with a Finisher move in the Final Chapter of Raoh's Legend Mode.
Defeat Kenshiro with a Finisher move in Ch. 5 of Raoh's Legend Mode.
Defeat Toki with a Finisher move in Ch. 4 of Raoh's Legend Mode.
Play for more than 30 hours total.
Defeat Kenshiro with a Finisher move in Ch. 2 of Raoh's Legend Mode.
Defeat Rei with a Finisher move in Ch. 1 of Raoh's Legend Mode.
Complete Legend Mode as Mamiya.
Complete Legend Mode as Rei.
Defeat Juda with a Finisher move in the Final Chapter of Rei's Legend Mode.
Defeat Raoh with a Finisher move in Ch. 5 of Rei's Legend Mode.
Defeat Uighur with a Finisher move in Ch. 4 of Rei's Legend Mode.
Defeat Amiba with a Finisher move in Ch. 3 of Rei's Legend Mode.
Defeat Boss Fang with a Finisher move in Ch. 2 of Rei's Legend Mode.
Defeat Mamiya with a Finisher move in Ch. 1 of Rei's Legend Mode.
Complete Legend Mode as Toki.
Defeat Raoh with a Finisher move in the Final Chapter of Toki's Legend Mode.
Defeat Raoh with a Finisher move in Ch. 1 of Toki's Legend Mode.
Complete Legend Mode as Kenshiro.
Defeat Raoh with a Finisher move in the Final Chapter of Kenshiro's Legend Mode.
Defeat Raoh with a Finisher move in Ch. 13 of Kenshiro's Legend Mode.
Defeat Ryuga with a Finisher move in Ch. 12 of Kenshiro's Legend Mode.
Crush 1,000 enemies using Signature Moves.
Defeat Thouzer with a Finisher move in Ch. 11 of Kenshiro's Legend Mode.
Defeat Thouzer with a Finisher move in Ch. 10 of Kenshiro's Legend Mode.
Defeat Shew with a Finisher move in Ch. 9 of Kenshiro's Legend Mode.
Defeat Juda with a Finisher move in Ch. 8 of Kenshiro's Legend Mode.
Defeat Raoh with a Finisher move in Ch. 7 of Kenshiro's Legend Mode.
Defeat Uighur with a Finisher move in Ch. 6 of Kenshiro's Legend Mode.
Defeat Amiba with a Finisher move in Ch. 5 of Kenshiro's Legend Mode.
Defeat Jagi with a Finisher move in Ch. 4 of Kenshiro's Legend Mode.
Defeat Boss Fang with a Finisher move in Ch. 3 of Kenshiro's Legend Mode.
Defeat Shin with a Finisher move in Ch. 2 of Kenshiro's Legend Mode.
Complete the first chapter (with any character).
Defeat Zeed with a Finisher move in Ch. 1 of Kenshiro's Legend Mode.