Let me list some examples:
Recording in poor quality
Game: Donkey Kong Barrel Blast
Song: DK Jungle 1 Theme
Done right
Done wrong
Beginning from the wrong starting point and/or with SFX
Game: Donkey Kong Jungle Beat
Song: Battle for Storm Hill
Done right
Done wrong
Your best possible bet is to rip the songs from the ROM or ISO. Of course, if you try to rip music direct from the Donkey Kong Jungle Beat ISO, you might end up with a cacophony of clashing instruments and an audience constantly chanting "Go!" and "Pan!" simultanously due to the way the music is designed in the game, unless you can disable these layers of instruments.
What does anybody here think of poor attempts to record video game music? Any particularly bad examples you want to share here?