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