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