Well, here's one I wrote myself, on the day I woke up to find that he had been elected. I posted it then on another thread, and was told it was unfair to orang-utans!
I'll leave you to guess which tune it is set to: certainly those who grew up with "Children's Favourites" on Saturday am radio in the UK will know!

TRUMP, TRUMP, TRUMP

From New York
A travelling businessman came,
But not an intelligent elephant,
No, a bloke with a funny name,
Mop of hair,
And face with a very fake tan,
O what a farce, he might well pass
For an outsize orang-utan.

Donald, th'orang-utan packed his cart
And trundled off to the golf course,
Off he went with a trumpety-trump,
Trump, Trump, Trump.
Doesn't want wind farms to blight his view
But happy to knock down some houses,
Said he was doing it for everyone's good,
Trump, Trump, Trump.
But soon bigger things were calling, far, far away,
He put himself up as a candidate
In the US election fray.
BUT, that was in April, and no-one believed
That Donald would ever pursue it:
Now you must agree how wrong you can be,
Trump, Trump, Trump.

Night by night,
He'd rant and point and rave,
When Donald was up on the podium
He looked so proud and brave,
Dirty tricks
Yon Donald did perform
But yet he just deluded them
And took the crowd by storm.

What a palaver for months on end,
Touring all over the country,
Hillary missed out Wisconsin, oh dear, but not
Trump, Trump, Trump.
Lawyers and FBI all muscled in
To ride on this huge roller-coaster,
Vote for the "lesser of evils" they said, not
Trump, Trump, Trump?

The Mexican border was calling, far, far away,
He'll send all those immigrants building his wall,
And leave them the other side of it,
While others are fleeing to Canada,
The moon or Mars or Australia,
What kind of country will America be, with
Trump, Trump, Trump?

On he went,
Trampling others down,
He only had one goal in life,
To take the President's crown.
Just how many people did he offend?
Which makes it such a mystery
Why they voted for him in the end.

All other candidates whittled away,
He had to face up to Ms Clinton,
TV debates, all fuelled with hate,
Trump, Trump, Trump.
Misogynist, racist and bigoted perv,
And don't mention emails from Hillary,
Lies and distortion, all out of proportion,
Trump, Trump, Trump.
Washington DC is calling, not so far away,
He'll be in The White House by January,
What horror, is all I can say.
BUT silver-tongued words will not change my mind,
Nor red baseball caps even tempt me,
Just keep your hands well off pussies and buttons, Trump, Trump, Trump!