More back to the 70's jokes! I don't know how these started, but you have to give people credit for being creative! I wonder if it started with this joke, which I had heard first:

"Mrs. Johnson, can Johnny come out and play baseball?"
"Now, children, you know Johnny has no arms and no legs."
"We know, Mrs. Johnson. We want to use him as home base!"

What do you call a man with no arms and no legs on your front door step?

MATT

What do you call a man with no arms and no legs in a pot of vegetables?

STU

What do you call a guy with no arms & no legs that is stuck in a wall?

BRAD

What do you call a woman with no arms and no legs on a tennis court?

ANNETTE

What do you call a man with no arms and no legs that sits in your wallet (or in a bank?)

BUCK

What do you call a man with no arms and no legs that hangs on your wall?

ART

. . . what if he also doesn't have a tongue?

Tasteless ART

. . . what do you call his arms and legs?

Pieces of ART

What do you call a woman with one leg shorter than the other?

EILEEN

What do you call a woman with one leg shorter than the other who is Asian?

IRENE

What do you call her after the operation to even her legs?

NOREEN

What do you call a man with no arms and no legs in your mailbox?

BILL

And the woman who puts him in the fireplace?

BERNADETTE

What do you call a man with no arms and no legs in the ocean?

BOB

What do you call 5 men with no arms and no legs in the ocean and a woman named Ann?

BOB, BOB, BOB ... BOB, BOB 'n' Ann

Hint: Say it out loud! Very clever!

{My sister made this one up way back when, but it was such a natural that others have also}
What do you call a man with no arms and no legs in a pile of leaves?

RUSSELL

And 6 months later?

PETE

The rest of these I gathered from multiple sources all over the Internet:

What do you call a man with no arms and no legs between two buildings?

ALI

What do you call a man with no arms and no legs who loosens hex screws?

ALLEN

What do you call a man with no arms and no legs on two wheels?

AXEL

What do you call a woman with no arms and no legs stuck in a fence?

BARB

What do you call a woman with no arms and no legs in a bag?

CARRIE

What do you call a man with no arms and no legs on your shoulder?
Variation: ... playing poker?

CHIP

What do you call a man with no arms and no legs put through a meat grinder?

CHUCK

What do you call a man with no arms and no legs in a tiger cage?

CLAUDE

What do you call a man with no arms and no legs sitting on a hill?

CLIFF

What do you call a woman with no arms and no legs hanging from a chandelier?

CRYSTAL or TIFFANY

What do you call two men with no arms and no legs in a window?

CURT N' ROD

What do you call a woman with no arms and no legs in your kitchen sink?

DAWN

What do you call a man with no arms and no legs who has been left out on the lawn all night?

DEWEY

What do you call a man with no arms and no legs under a bed?

DUSTY

What do you call a man with no arms and no legs on your barbecue?

FRANK

What do you call a man with no arms and no legs under a microscope?

GENE

What do you call a man with no arms and no legs in a cracker box?

GRAHAM

What do you call a man with no arms and no legs in your spice rack?

HERB or BASIL

What do you call a man with no arms and no legs flying over a fence?

HOMER

What do you call a man with no arms and no legs getting trampled on by a bunch of basketball players?

JIM

What do you call a man with no arms and no legs in a GMC?

JIMMY

What do you call a man with no arms and no legs in a coffee cup?

JOE

What do you call a man with no arms and no legs who pretends to have arms and legs?

JOSH

What do you call a man with no arms and no legs who is Spanish and very pale?

JUAN

What do you call a man with no arms and no legs impaled on a spear?

LANCE

What do you call a man with no arms and no legs who left a smudge on your floor?

MARK

What do you call a man with no arms and no legs on a podium?

MIKE

What do you call a man with no arms and no legs who cut himself shaving?

NICK

What do you call a woman with no arms and no legs in a frying pan?

PAM

What do you call a woman with no arms and no legs between two slices of bread?

PATTY

What do you call a woman with no arms and no legs hanging on a clothes line?

PEG

What do you call a man with no arms and no legs in a bottle?

POP

What do you call a man with no arms and no legs who is covered with sauerkraut?

REUBEN

What do you call a man with no arms and no legs who falls into a gold mine?
Contributed by Chris LaLande - thanks!

RICH

What do you call a man with no arms and no legs trying to hold up a bank?

ROB

What do you call a woman with no arms and no legs on a beach?

SANDY

What do you call a man with no arms and no legs who is water skiing?

SKIP

What do you call a man with no arms and no legs who worked at the soda plant?

TAB

What do you call a man with no arms and no legs in a lingerie drawer?

TEDDY

What do you call a man with no arms and no legs on the President's desk?

VITO

What do you call a man with no arms and no legs with pet rabbits?

WARREN

What do you call a man with no arms and no legs given to you by a deceased relative?

WILL

This is not a true example, but deserved an honorable mention!

What do you call two guys with no arms/legs in the water?

Swimming trunks