Here are two challenges. I believe the tune of "John Brown's Body" is the most used for other sets of words. Here are three off the top of my head (I may well be back to add more later; my memory is OK, but recall speed has slowed down):

The Red Revolution

We'll make Brigitte Bardot take her clothes off every day,
We'll make Brigitte Bardot take her clothes off every day,
We'll make Brigitte Bardot take her clothes off every day,
When the red revolution comes.
chorus:
Free beer for all the workers,
Free beer for all the workers,
Free beer for all the workers,
When the red revolution comes.

We'll make Lady Docker sweep the steps of Transport House, (3x)
When the red revolution comes.
(chorus)

and many other verses. Ask someone over 60 to explain Lady Docker to you.

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What a Hell of a Way to Die

He jumped from thirty thousand with a rope around his neck, (x3)
And he ain't coming back no more.

chorus:
They scraped him off the tarmac like a lump of strawberry jam, (3x)

They wrapped him in a two by four and sent him home to Mum, (3x)

Now they're looking for the WAAF who put the bloomers in his pack, (3x).

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And the children's favourite on long journeys:

Stop the car we want a wee-wee,
Stop the car we want a wee-wee,
Stop the car we want a wee-wee,
And the driver wants a wee-wee too.

The first challenge is how many other different sets of words can fellow mudcatters come up with?

The second challenge is am I wrong about John Brown being the most used?

Looking forward to your entries.