To start off, here are some non-rhyming limericks. These are actually rather hard to write because they depend for their humour on a hidden rhyme that doesn't appear to be there...but is, if you substitute the missing rhyming words. Enjoy!

The was a young girl called Dawes
who went to a rave without her fella
Her mum said 'Amelia
Should anyone dance with you
they'll think you're one of them actresses.'
(Explanation at the bottom of this page for the limerically-challenged)

Here's another (cleaner) example of the genre:
There was on old man from Dunoon
Who always ate soup with a fork.
He said 'As I eat
Neither fish, fowl nor flesh,
I would otherwise finish too quick.'

And finally, a naughty one! (We'll give you this one: the final word should be 'please' which rhymes with 'bees.' Yes, we know it says 'wasps.' Look, think really hard—you'll get it)
There was a young man from Tyne Tees,
Who was stung on his prick by some wasps.
When asked 'does it hurt',
He said 'Not a bit,
They can do it again if they want.'

And now...back to our usual filth...

The sea captain's tender young bride
fell into the bay at low tide,
You could tell by her squeals,
that some of the eels
had discovered a good place to hide.

There was a young man named Sweeney
Who spilled some gin on his weenie.
He thought this uncouth,
So he added vermouth,
And slipped his girl a martini.

There was a young lady named Randle
Who caused quite a neighborhood scandal
By coming out bare
On the main village square
And massaging herself with a candle.

A mortician who practiced in Fife
Made love to the corpse of his wife.
'How could I know, Judge?
She was cold, dinna budge—
Just the same as she acted in life.'

There once was a monk in Siberia
Whose existence got steadily drearier.
He did to a nun
What he shouldn't have done
And made her a mother superior!

There was a young lady from Ealing,
Who protested she lacked sexual feeling,
til a cynic named Boris,
Licked her Clitoris,
And left her legless and squealing.

There was a old man from Calcutta
Who was found lying dead in a gutter
The heat from the sun
Burned a hole in his bum
And melted his bollocks like butter.

There was a sad chap from Southall
Who's prick was incredibly small.
When his girlfried measured it
She found it was not
More than four-fifths of five-eigths of fuck all.

There was a young girl from Kilkenny
Whose usual charge was a penny
For half of that sum
You could roger her bum
A source of amusement to many.

There was a young man from Devizes,
who's balls were two diferent sizes.
One ball was small;
it was no ball at all.
But the other had won several prizes.

Here's the explanation of the first non-rhyming limerick about 'Amelia.'
FIRST, the NON-RHYMING limerick...)

The was a young girl called Dawes
who went to a rave without her fella
Her mum said 'Amelia
Should anyone dance with you
they'll think you're one of them actresses.'

(And now, the missing words that make it rhyme.)

The was a young girl called Dawes
who went to a rave without her DRAWERS
Her mum said 'Amelia
Should anyone FEEL YA
they'll think you're one of them WHORES.'

Here's another we made up on the spot. Gosh, we're clever buggers!

A tarty old slapper called Fliss
Decided to go on a pub crawl
But after a tenth bacardi
She sat on her hat
Saving time getting up for a slash.

And the solution to that one is...

A tarty old slapper called Fliss
Decided to go on the PISS
But after a tenth bacardi
She sat on her CARDY
Saving time getting up for a PISS