How 'bout the old “abcesses make the fart go Honda” joke?
Edit: And since when is “fart” a bad word? 
f*rt?..fort is not a dirty word unless it is built on your land without your permission.
Anstapa
Ted said, “Sven, send ten tents!”, Sven said, “Ted, send ten cents!”; then Ted sent Sven ten cents, so Sven sent Ted ten tents. 
i understand what you are saying. this would be a good game around the campfire.
regional dialects make this a problem. i live in southern west virginia and grew up in southwestern pennsylvania. raffle tickets are a big thing in pennsylvania, not such a big thing in west virginia. so when i saw a raffle ticket, i immediately wanted to buy a ticket, i asked what the prize was, the man kept saying “a raffle” and i kept saying, “yeah, i know it’s a raffle but what do you win?” this went on forever until finally, i said, “ok, what kind of raffle is it?” and he said, “a deer rifle.”
Wow! “Who’s on first?” 
My dad knows a bunch of these and can spin them out so they go on and on and on… 
One about a very grumpy old piano tuner named Oppornockity who would go through a very long drawn out process to tune a piano perfectly, but would never do the job for you again, because unfortunately, “Oppornockity tunes but once”
Another is a long story about the magical properties of the Foo bird-- a bird so magical that even its feathers and droppings have mystical properties-- so that “if the Foo sh*ts, wear it”
And one about this annoying rare bird that builds its nest waaaaaay up in the mountains and these guys have to knock the nest over to get rid of it, but it’s a long long way to tip a rarie.
And it’s tough to tune a tuna.
djm
Reminds me of an old Army Intelligence joke. It’s about the unreliability of whispered messages sent down a word of mouth chain.
Soldiers are holding a position in a trench. The commander decides to send his intentions down to command at the other end of the trench. It starts out as ‘Am going to advance. Send reinforcements.’ By the time it reaches command it has morphed into ‘Am going to a dance. Send three and fourpence.’
You can tell that’s an old one. From before the days of decimal currency in Australia.
Ive waited for MONTHS to find a respectable way to post the Sven/Ted thing… didnt have nearly enough courage to start some candy-@ssed ‘tounge twister’ thread… 
Here’s one I think I made up:
This is not necessarily Sara Lee’s celery.
Try that one on for size.
Phoenician angiograms
djm
Once there was a man who drove a Sesame Street bus. On his first
stop, he picked up two large women named Patty. At his second
stop, he picked up a man wearing a helmet who said “My name’s
Ross, and I’m special!” At the third stop, he picked up a cowboy
who introduced himself as Lester Reese and took off his boot so
he could pick at his bunions. Not long after, the man lost control
of that bus, and it hurtled into the sea, killing all aboard.
The next day, headlines read: “Two Obese Patties, Special Ross,
Lester Reese (picking bunions) on a Sesame Street Bus!”
I am not aware of a noun for that.
Applying the precedent of “anagram” we could
argue for a new word, “anaphon”.
I know a similar joke with the following punchline:
Knicknack, Patty Whack, give the frog a loan. His old man’s a Rolling Stone.
OK, now you make up the story.
Wrong thread, Wombat. Oxymoron is down a couple’a pages.
(Kidding folks. I fully support our troops, if not their mission.)
James Knicknack was a having a tough day. The bank which had put
bread on his family’s table for nearly 40 years was now forcing him
into retirement. All he had known of life outside the house was that
bank, and tomorrow he would be out in the cold (well, his house was
warm, of course, but the same couldn’t be said about his spouse).
And now, the guys were playing a “going-away” prank on him. He
didn’t know how they had rigged this frog with audio, but he knew
he wasn’t going crazy. A crazy person would’ve made the frog life-
sized, right? This was just an ordinary frog, green and glistening
and … bloody speaking to him from his guest chair.
The frog, of course, wanted a second mortgage on his lilly pad. He
had some sort of business plan (probably a dried fly store, James
didn’t really want to look at the documents too hard, lest they
start talking, as well).
“Well, might as well get this over with,” James thought as he called
his manager over. He suspected that Mr. Whack was in on the joke and
would start laughing when he arrived, but instead he approached to
James’ desk with his hand extended and his attention elsewhere.
“Hullo-I’m-Paddy-Whack-Senior-Loan-Officer-welcome-to-”
It was then that Mr. Whack stopped in his tracks to stare at the
customer… “Is this a joke, Knicknack!!!”
“I expect so, sir, some of the boys must be playing–”
“There’s a bloody reptile on your chair, Knicknack!”, Mr. Whack
interjected.
James remained calm. “It’s an amphibian, sir. The form says his
name is Jason Jagger, son of Mick and … uh… Miss… Piggy.
Uh… sir.”
“I don’t have time for this, Knicknack, do you know how busy I am?
Of all the ridiculous–” Mr. Whack suddenly cut off as the branch
manager passed by. To the James’ surprise, the branch manager shook
the frog’s flipper, greeting him like an old family friend. The frog
exchanged a few pleasantries with the old man, asked after his
grandkids… what was going on here? Surely such an august gentleman
wouldn’t be in on such a silly prank?
At that point, the branch manager looked up with consternation at his
two employees, and said:
Knicknack, Patty Whack, give the frog a loan. His old man’s a Rolling Stone.
OK Wombat, here’s the rest of the story-less pun-endings:
Good suggestion. Works for me.
Funny isn’t it? Although, judging from this thread, near anaphons are more common than the real thing, along with it’s more or less remote brothers and sisters, the anaphon plays a much bigger role in humour than the anagram. I suppose we have cryptic crosswords to blame for anagrams getting all the attention.
I met a salesman who had red hair. This salesman told me he did his best business down at the Sunset Grill. His two boys also had red hair. The boys were quite keen on going sailing with their friends.
djm
Yet another fine example of a non-anaphon: A guy is running to catch the last train home when the heel comes off his shoe. He trips, falls and misses the train. He gets up and starts singing that old Kenny Rogers number: You Picked A Fine Time. . .