They're getting to be more something I could as easily avoid...but I'm glad I have someone to share it with. Thank you, dear.... mtae.
It's been done a lot. I think my favorite is Vanilla Fudge's masterful reworking of the Lee Hazelwood/Nancy Sinatra duet, "Some Velvet Morning"—they mixed in a portion of Stravinsky's Rite of Spring to wonderful effect on their Near the Beginning album.
There's one that I wish someone would do that occurred to me back when I took Music Appreciation so I could squeak by with minimal humanities courses. We were studying lieder. I found the over-the-top Sturm und Drang of "Gretchen am Spinnrade" hilarious. (Of course, now I enjoy courtly love songs that lyrically are equally over the top, but I guess I can't be accused of consistency...and musically they are more restrained.) I did, though, kind of like "Der Erlkönig," with its riff that suggested the father frantically galloping down the road. Rapid triplets, in D minor.
At about that time, Uriah Heep was in their heyday, and "Easy Livin'" was a radio staple. It had a shuffle rhythm, and was in D minor, and had a guitar riff between verses.
Hmmm. Both of them in D minor. Both in 6/8 (or, as they'd say in period, imperfect tempus, perfect prolation). Check.
Somebody should've tried to mix those two songs.