Accomplish the indicated achievement to get the corresponding number of Gamerscore points:

Swordman (5 points): Launch Slash 10 times successfully (in all modes except practice mode).
Senior swordman (10 points): Launch Slash 50 times successfully (in all modes except practice mode).
Super swordman (25 points): Launch Slash 100 times successfully (in all modes except practice mode).
The day of defiance (20 points): Provocate the opponent for 50 rounds (in all modes except practice mode).
Survivor (10 points): Kill 5 men in Survival mode.
Bloody hands (20 points): Kill 13 men in Survival mode.
The invincible (30 points): Kill 26 men in Survival mode.
Kill thousand of men (50 points): Kill 1,000 men (in any mode).
The Toughest warrior of Japan (5 points): Kill the opponent with full HP (in Ranked match, within 1 round).
Unknown opponent (10 points): Play Xbox LIVE fighting once (regardless of the result, in any match).
Samurai spirit (20 points): Win in Xbox LIVE fighting 5 times (in Ranked match).
Bushido (40 points): Win in Xbox LIVE fighting 20 times (in Ranked match).
Sura spirit (50 points): Win in Xbox LIVE fighting 50 times (in Ranked match).
The Toughest warrior on earth (15 points): Kill an opponent with full HP (in Ranked match, within 1 match).
Great! (9 points): Kill an opponent when you are dying (in Ranked match).
Wandering strong swordman (20 points): Complete Story mode with Haohmaru.
The crimson murderousness (20 points): Complete Story mode with Genjuro.
The lightning kicker (20 points): Complete Story mode with Hanzo.
The sparkling destiny (20 points): Complete Story mode with Ukyo.
The nature like mediums (20 points): Complete Story mode with Nakoruru.
The native cheerful girl (20 points): Complete Story mode with Rimururu.
The Impact Blue of Justice (20 points): Complete Story mode with Galford.
The Heat-Fury Sword-Way (20 points): Complete Story mode with Kazuki.
The Cool-Perfect Killer (20 points): Complete Story mode with Sogetsu.
The Solid-Steel Fortress (20 points): Complete Story mode with Walter.
The Huge Continental Wall (20 points): Complete Story mode with Wanfu.
North Sea Unsinkable Ship (20 points): Complete Story mode with Garros.
Beautiful strong man (20 points): Complete Story mode with Kyoshiro.
Living war god in the west (20 points): Complete Story mode with Jinbei.
One-eyed guardian (20 points): Complete Story mode with Jubei.
Noble warrior on the earth (20 points): Complete Story mode with Blackhawk.
Eternal war girl (20 points): Complete Story mode with Charlotte.
Dancing man in death place (20 points): Complete Story mode with Kirian.
Samurai of thundercloud (20 points): Complete Story mode with J..
Succeed tradition (20 points): Complete Story mode with Takechiyo.
Golden wild wolf (20 points): Complete Story mode with Claude.
Handing sword princess (20 points): Complete Story mode with Suzu.
Cold-blooded death (20 points): Complete Story mode with Angelica.
Ancestry of phantom bird (20 points): Complete Story mode with Kim Hae-ryeong.
Wild Beast in the Wilds (25 points): Draco unlocked (complete Story mode with 12 characters).
Nightmare of Lesphia (25 points): Golba unlocked (complete Story mode with 24 characters).
Legendary Hierophant (40 points): Complete Story mode with all characters (with the highest difficulty).

Additionally, there are eight secret achievements:

Secret achievement (60 points): Unknown.
Secret achievement (10 points): Unknown.
Secret achievement (10 points): Unknown.
Secret achievement (10 points): Unknown.
Secret achievement (10 points): Unknown.
Secret achievement (10 points): Unknown.
Secret achievement (1 points): Unknown.
Secret achievement (0 points): Unknown.