Here, I play the Player VS Computer mode. In VS modes, each character has their own attack power. Love that Street Fighter parody/reference! In fact, even each character has their own ending similar to the Street Fighter games.
The Saturn version also includes additional modes not shown in this video: a Challenge mode, where you complete a set of challenges playing levels. You can advance to the next stage if you fail. At the end, the final grade is determined.
There's also Collection mode, which is full of levels created by players around that time. Even I don't know how they were made.
Of course, the original name was only used for the arcade version worldwide; releases of ports outside Japan once again used the localized name, Bust-A-Move 3.