Mull of Kintyre, although I don’t remember the parody. Someone from Sheffield sang it once and I thought it was hilarious (which means nothing, 30 years later). I’ve poked around online without finding it. It’s not “Mulligan’s Tires” or the one about soccer (football).
Another is The Monkees’ Daydream Believer and the line “I dance like Axl Rose in my fruity sixties clothes.” Can’t find it online, either. I see references to it but not the whole thing.
On Saturday Night Live, Bill Murray had some hilarious bits as a lounge singer whose name was either Nick Winters or Nick Summers, depending on the time of year, as I recall. He was parodying singers rather than songs, but he made an indelable impression on me with his renditions of the theme from Star Wars (mentioned upthread) and especially Scarborough Fair.
It just happened: The store speakers were playing an instrumental version of “Angels We Have Heard On High” and my mind immediately filled in the second line with Tom Lehrer’s “tell us to go out and buy”
The version my brothers taught me would get us all arrested, or at least expelled these days:
“Glory glory Hallelujah. Teacher hit me with a ruler. Shot her with a rusty forty-twoooooo-er, now the teacher ain’t a teacher any more”.
Last night, I heard Madonna’s “La Isla Bonita” while I was in the car, and was reminded of the parody lyric that my college roommate used to sing (and which I always “hear” when I hear Madonna’s song).
Instead of “Last night, I dreamt of San Pedro,” I hear, “Last night, I ate my sombrero!”
Apparently he has a show which can be heard on Internet radio.
Too bad he self-destructed as an on-air personality. He did some great (if gross) stuff back in the days when I picked up his show while commuting in the Philadelphia area (circa 1995).