Too many songs to list here, but fear not!
Over the years I've ended up adapting the meter and rhyme of not only classical poetry, but many a light hearted song. While I think posting or listing them all here would be a bit much, I admit being somewhat proud of some of the results (Song for a Cute Fuzzy Moth is still a favorite, for instance)
I usually tried to use commonly known folksong or musicals tunes rather than 'pop' with the aim of the readers hopefully being able to relate. I am often annoyed by adaptations people post with tunes only a tiny pocket of their readers are likely to know.
You are welcome to take a look - four pages of my adapted songs have been collected and indexed over here at the Scrapbook site:
http://lotrscrapbook.bookloaf.net/songs/longer/primula.html -