“A guy walks into a bar…” is a typical form of what has been called the “bar joke.” A quotation mark version is:
 
“Two quotation marks ‘walk into’ a bar.”
 
The joke originated in the article “Seven Bar Jokes Involving Grammar and Punctuation” by Eric K. Auld on McSweeney’s on November 8, 2011.
 
The quotation marks are sometimes shifted. “Two quotation marks walk into a ‘bar’” was posted on Language Matters on September 20, 2014.
 
   
McSweeney’s
NOVEMBER 8, 2011
LISTS
SEVEN BAR JOKES INVOLVING GRAMMAR AND PUNCTUATION
ERIC K. AULD
(...)
4. Two quotation marks “walk into” a bar.
     
Twitter
Karyn Ellis
@KarynEllisHere
Two quotation marks “walk into” a bar…  http://www.mcsweeneys.net/articles/seven-bar-jokes-involving-grammar-and-punctuation … Seven Bar Jokes Involving Grammar and Punctuation.
3:17 PM - 8 Nov 2011
 
Google Groups: alt.callahans
Bad grammar will get you every time….
John W. Vinson
11/14/11
Stolen from another newsgroup:
 
From http://www.mcsweeneys.net/articles/seven-bar-jokes-involving-grammar-and-punctuation :
(...)
4. Two quotation marks “walk into” a bar.
   
Google Groups: alt.usage.english
The Legendary Bar Jokes Thread    
Anton Shepelev
12/2/11
(...)
(4)  [Eric K. Auld]  Two quotation marks “walk into” a bar.
     
Google Books
Grammar for Grown-ups
By Katherine Fry and Rowena Kirton
London, UK: Square Peg
2012
Pg. 262:
‘Seven Bar Jokes’ by Eric K. Auld
(...)
4 Two quotation marks ‘walk into’ a bar.
     
Language Matters
Saturday, September 20, 2014
Updated Humour for Intelligent People
(...)
4. Two quotation marks walk into a “bar.”
 
Google Books
3000 Jokes, 2997 Laughs
By Mike Haskins
London, UK: Portico
2017
Pg. ?:
Two quotation marks ‘walk into’ a bar.
   
Twitter
Tina Korecky Bowness
@tinabowness
Two quotation marks walk into a “bar.”  #grammarisfun #cleanjokes
8:17 AM - 27 Feb 2018
   
Twitter
Charles Dodgson
@CHDodgson
1/6 A dangling participle walks into a bar. Enjoying a cocktail and chatting with the bartender, the evening passes pleasantly.
A bar was walked into by the passive voice.
An oxymoron walked into a bar, and the silence was deafening.
Two quotation marks walk into a “bar.”
6:47 PM - 27 Feb 2018
 
Reddit—Writing
A dangling participle walks into a bar… (self.writing)
submitted March 10, 2018 by Pale_King101
(...)
Two quotation marks walk into a “bar.”