Here is the full list of all 46 The King of Fighters XIII achievements worth 1,000 gamerscore.
Complete the TUTORIAL
Create 10 characters in CUSTOMIZE
Perform 50 MAX Cancels (ARCADE, VERSUS)
Hit 100 times using EX Super Special Moves (ARCADE, VERSUS)
Hit 100 times using NEO MAX Super Special Moves (ARCADE, VERSUS)
Perform 50 Super Cancels (ARCADE, VERSUS)
Perform 50 Super Special Moves Finishes (ARCADE, VERSUS)
Get 50 NEO MAX Super Special Moves Finishes (ARCADE, VERSUS)
Complete STORY.
Clear STORY.
Get 10 consecutive wins in a ranked match
Get 5 consecutive wins in a ranked match
Clear TIME ATTACK mode with 30 characters
Clear TIME ATTACK mode for the first time
Clear 200 trials in TRIAL mode
Complete all trials for 1 character in TRIAL mode
Perform 50 HD Cancels (ARCADE, VERSUS)
Get 2 consecutive wins in a ranked match
Hit 100 times using EX Special Moves (ARCADE, VERSUS)
Register an icon, team and message in CUSTOMIZE
Play 300 [ranked matches / player matches]
Win 100 [ranked matches / player matches]
Hit 100 times using Super Special Moves (ARCADE, VERSUS)
Perform 10 Perfect Victories (ARCADE, VERSUS)
Defeat 35 characters in SURVIVAL mode
Perform 50 Drive Cancels (ARCADE, VERSUS)
Perform 300 Target Actions (ARCADE)
Get 10 straight wins (ARCADE, VERSUS)
Get an SS at the victory screen
Defeat 3 characters in SURVIVAL mode
Clear ARCADE MODE on VERY HARD
Clear ARCADE MODE without continuing
Be challenged by "Ash" and win in ARCADE
Get an S at the victory screen
Be challenged by "Billy" and win in ARCADE
Hit 100 times using Special Moves (ARCADE, VERSUS)
Win 50 [ranked matches / player matches]
Create 10 rooms
Play 100 [ranked matches / player matches]
Win 25 [ranked matches / player matches]
Play 50 [ranked matches / player matches]
Be challenged by "Saiki" and win in ARCADE
Perform 10 Target Actions (ARCADE)
Win 5 [ranked matches / player matches]
Win your first [ranked match / player match]
Play your first [ranked match / player match]