The "SP Fight" designation typically refers to "Special" or "Special Edition" versions that offer:

Since the release, the niche community has been buzzing:

: Victory is tied to filling your character's excitement bar through successful moves and combos. Special SP Features

In SP Fight, you choose a character (even Poor Sakura) and fight through 30 stages. However, each stage has a random handicap:

: The "SP" edition includes additional postures and companion mechanics that allow you to call in allies during the heat of battle. Quick Start Guide for PC