Here's an ancient webpage of Limerick-ses that, while awfully formatted (I did mention ANCIENT webpage) are surprisingly mostly funny and not-so-naughty.

"The limerick's furtive and mean
You must keep her in close quarantine
Or she sneaks to the slums
And promptly becomes
Disorderly, drunk and obscene."

"Linda Blair with great favour confessed,
She'd been exorcised, thus finding rest,
But alack and alas
Her old demon came back
and now the poor girl's repossessed."

"There was an old man of the isles
Who suffered severely from piles
He couldn’t sit down
Without a deep frown
So he had to row standing for miles" (spelling corrected)

"There was a young girl from Rabat,
who had triplets, Nat, Pat and Tat;
It was fun in the breeding,
But hell in the feeding,
When she found she had no tit for Tat."

"A bather whose clothing was strewed,
By winds that left her quite nude,
Saw a man come along,
And unless we are wrong,
You expected this line to be lewd."

"There was a young lady named Kite
Whose speed was much faster than light.
She left home one day
In a relative way
And returned on the previous night."

"There once was a girl named Irene,
who lived on distilled kerosene.
But she started absorbin'
A new hydrocarbon,
And since then has never benzene!"

"Said an envious, erudite ermine,
'There's one thing I cannot determine:
When a girl wears my coat,
She's a person of note.
When I wear it, I'm called only vermin.'"

"There was a young lady named Maris
Whom nothing could ever embarrass
'Til the salts that she shook
In the bath that she took
Turned out to be Plaster of Paris."

"The lim'rick packs laughs anatomical
Into space that is quite economical.
But the good ones I've seen
So seldom are clean -
And the clean ones so seldom are comical."

I did not write this, but it is the only limerick that I remember:

A gay Irish priest in New Delhi
Had the Lord's Prayer tattooed on his belly
By the time that a Brahmin
Got down to the Amen
He'd blown both Salvation and Kelly.

There was a young man from Kent
Whose penis was long, thin, and bent.
To save himself trouble
He slipped it in double
But then when he came, he went.

Two ugly old spinsters from West Fordham
Went for a walk from sheer boredom.
But on the way back
A sex maniac
Jumped out from a bush and ignored 'em.

There was a young man from Devizes
Whose balls were of different sizes.
One was so small
It was no use at all
But the other was HUGE and won prizes.

There was a young vampire called Mable
Whose periods were really quite stable
So every full moon
She'd get out a spoon
And drink herself under the table.