Here is the full list of all 47 Fist of the North Star: Ken's Rage achievements worth 1,000 gamerscore.
Completed Dream Mode as Thouzer.
Completed Dream Mode as Rei.
Obliterated 5,000 enemies with Nanto Seiken.
Completed Legend Mode as Raoh.
Defeated Toki with a Finisher move in Ch. 4 of Raoh's Legend Mode.
Defeated Kenshiro with a Finisher move in Ch. 5 of Raoh's Legend Mode.
Defeated Kenshiro with a Finisher move in the Final Chapter of Raoh's Legend Mode.
Completed Dream Mode as Shin.
Defeated Kenshiro with a Finisher move in Ch. 2 of Raoh's Legend Mode.
Defeated Rei with a Finisher move in Ch. 1 of Raoh's Legend Mode.
Completed Legend Mode as Kenshiro.
Defeated 10,000 enemies.
Destroyed 5,000 enemies with Hokuto Shinken.
Defeated Raoh with a Finisher move in the Final Chapter of Kenshiro's Legend Mode.
Defeated Raoh with a Finisher move in Ch. 13 of Kenshiro's Legend Mode.
Played for more than 30 hours total.
Defeated Thouzer with a Finisher move in Ch. 10 of Kenshiro's Legend Mode.
Defeated Thouzer with a Finisher move in Ch. 11 of Kenshiro's Legend Mode.
Defeated Ryuga with a Finisher move in Ch. 12 of Kenshiro's Legend Mode.
Completed Legend Mode as Rei.
Crushed 1,000 enemies using Signature Moves.
Defeated Jagi with a Finisher move in Ch. 4 of Kenshiro's Legend Mode.
Defeated Amiba with a Finisher move in Ch. 5 of Kenshiro's Legend Mode.
Defeated Uighur with a Finisher move in Ch. 6 of Kenshiro's Legend Mode.
Defeated Raoh with a Finisher move in the Final Chapter of Toki's Legend Mode.
Completed Legend Mode as Toki.
Defeated Raoh with a Finisher move in Ch. 1 of Toki's Legend Mode.
Defeated Juda with a Finisher move in the Final Chapter of Rei's Legend Mode.
Defeated Shew with a Finisher move in Ch. 9 of Kenshiro's Legend Mode.
Defeated Juda with a Finisher move in Ch. 8 of Kenshiro's Legend Mode.
Defeated Raoh with a Finisher move in Ch. 7 of Kenshiro's Legend Mode.
Completed Legend Mode as Mamiya.
Completed Dream Mode as Mamiya.
Defeated Boss Fang with a Finisher move in Ch. 3 of Kenshiro's Legend Mode.
Defeated Boss Fang with a Finisher move in Ch. 2 of Rei's Legend Mode.
Defeated Raoh with a Finisher move in Ch. 5 of Rei's Legend Mode.
Defeated Uighur with a Finisher move in Ch. 4 of Rei's Legend Mode.
Defeated Amiba with a Finisher move in Ch. 3 of Rei's Legend Mode.
Defeated Mamiya with a Finisher move in Ch. 1 of Rei's Legend Mode.
Defeated Shin with a Finisher move in Ch. 2 of Kenshiro's Legend Mode.
Completed the first chapter (with any character).
Defeated Zeed with a Finisher move in Ch. 1 of Kenshiro's Legend Mode.
Complete Dream Mode as Kenshiro.
Complete Dream Mode as Toki.
Complete Dream Mode as Raoh.
Complete Dream Mode as Jagi.
Put 5,000 enemies out of their misery with Hokuto Ujoken.