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