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