List of references in music

Jellyfish's "Ignorance Is Bliss"
The song is narrated by Bowser, speaking to Princess Peach.

NESkimos
NESkimos is a band that plays metal versions of music from Nintendo games including Super Mario Bros. 3.

Videogame
In Resonant Sun's Video Game, they describe Super Mario Bros.

Video Games by KJ-52
I was down to one life and didn't have another but now i'm super like the mario brothers

Ultimate Showdown of Ultimate Destiny
He appears in Lemon Demon's "Ultimate Showdown of Ultimate Destiny" music video fighting Sonic the Hedgehog (neither are mentioned in the lyrics however).