This what happens when a Sega nerd has Virtual Dj, the Sonic Generations Soundtrack, and way too much time on his hands. 
I didn't make these songs I just mixed them.

Songs:

Rival Battle Shadow: For True Story by Circuit Freq 
            
Rival Battle Shadow Shadow Attack: All Hail Shadow by Crush 40
            
Rival Battle Shadow Sonic Attack: Live and Learn by Crush 40

Sound Clips: Sonic Adventure 2

Rival Battle: Shadow Vs Sonic (True Showdown Mix)

I like weapons I’m 12 and I play gta 5.

Rival Battle: Shadow Vs Sonic (True Showdown Mix)

Joseph Coles