Guns N' Roses' album "The Spaghetti Incident?" (the quotes are part of the title) was named for a food fight between Axl Rose and Steven Adler involving spaghetti. During Adler's resolution lawsuit after leaving the band, the food fight was brought up, dubbed "the Spaghetti incident" by Adler's attorney. Eventually, it was explained by band members Matt Sorum and Slash.
"Hillary Song" by Marlin Spike Werner never says what exactly happened in that Customs warehouse at Kathmandu. The only thing we can be certain of is that knocking the yak was most definitely not a good idea.
When performing the song "My Home Town," Tom Lehrer always omits a line by saying something to the effect of "we're recording tonight, so I'll have to leave this line out." (The published sheet music just calls for whistling, and in the studio version he says "Shall I? No, maybe better not.") He has subsequently admitted that he never came up with a satisfactory rhyme, and found the implication that he intended to say something so unspeakably racy it had to be censored much funnier.
In Paul Simon's "Me and Julio Down by the Schoolyard," "what the mama saw / it was against the law," but what she saw is never specified. Asked in an interview, Simon replied, "I have no idea what it is. [...] Something sexual is what I imagine, but when I say 'something,' I never bothered to figure out what it was. Didn't make any difference to me."
Lit's breakout single "My Own Worst Enemy" revolves around a moderate one. There was a fight between the singer and his girlfriend, but a lot of specifics are left to the listener's imagination.
The song "Such Horrible Things" by Creature Feature explains the evil deeds committed by a person throughout his years. (Ex. "When I was two I poured super glue into my father's hair..." It skips ages by two until it reaches 18) The lyrics refer to a noodle incident at age 14: "When I was fourteen—nothing much happened. Well, heh heh, there was that one time..."
Rosetta Stoned, from Tool's 10,000 Days album: "This is so real, like the time Dave floated away..."
Phil Collins, from "In The Air Tonight": "Well, I was there and I saw what you did, I saw it with my own two eyes..." What he might have seen has become the subject of both Epileptic Trees and urban legends. As the page from Snopes notes, the entire song seems to be a Noodle Incident.
The opening of the video for Blow by Ke$ha gives us this little gem.
"So, I grabbed the bear by the throat, looked him right in the eyes, and I said 'Bear, you have 'till the count of zero to put some pants on and to apologize to the President.' And, um...that's the story of how I was elected to the Parliment of Uzbekistan.
The Runaways, a 70's and 80's rock band whose members included Lita Ford, Joan Jett, and Micki Steele of The Bangles, were kicked out of Disneyland in 1977. According to a Disney rep, one of their offenses was "doing weird things with french fries"
While not a song in and of itself, X Japan was, in their early days as X, involved in an actualNoodle Incident that split Visual Kei from just being another part of Japanese Heavy Metal. The band performed their song "Orgasm" at a noodle shop Yashiro, inviting along a TV crew to video them performing. Whether the noodleshop owners were complicit in the publicity stunt wasn't known, though the TV crew definitely was, and that led to the split at the time - the Japanese Heavy Metal community as it was at the time saw the Visual Kei upstarts as being the Attention Whore to use such promotion as staging a performance outside of a venue and dragging a TV crew along to film it, and as causing needless trouble for everyone. The split would later be mended to some degree (though some corners of Japanese Heavy Metal still look down on Visual Kei artists as more interested in attention than music).