Fuck yeah Streets of Rage, so good that it makes you ignore the terrible sound on the Genesis :V
Fighting in the Street (SoR1 Stage 1)
Moon Beach (SoR1 Stage 3)
Go Straight (SoR2 Stage 1)
Dreamer (SoR2 Stage 3)
Back to the Industry (SoR2 Stage 7)
Fuze (SoR3 Stage 1)
Boss (SoR3)
Here's a smattering of unorthodox songs I like.
Kindle's Theme (Advance Wars: Dual Strike) Rather dramatic/exotic techno bit.
Scrambling Film (Armored Core 3: Silent Line) Check this out if you're into ambient. This song helped me to S-Rank a very annoying mission D:
ZEN (F-Zero GX/AX) Neat atmosphere in this one.
Baljhet Mountains (Castlevania: Curse of Darkness) Fast-paced song with middle-eastern tones.
Hiruandan (Guilty Gear Overture) KABUKI METAL, YYYYEEAHH! Even if Overture wasn't worth playing it's still got some great songs from Ishiwatari.
Cluffy Flouds (Cyberspeed) As my comment on this video indicates, this is my favorite menu music ever EVER.