A pirate riddle about cheese is:
 
Q: What’s a pirate’s favorite cheese?
A: Cheddarrrr / Havarrrrrti / Yarrrrrrrrlsberg.
 
“‘Pirate’s favorite cheese?’ yarrrrlsberg!’” was posted on Twitter on June 14, 2008.  “What’s a pirate’s favourite cheese? Yarrrrrrrrlsberg” was posted on Twitter on October 1, 2010. “What’s a pirate’s favorite cheese? ‘I actually do like Jarlsberg but really I prefer a nice Gruyere.’ #PirateJokesDeflated” was posted on Twitter on October 22, 2010.
 
“What’s a pirate’s favorite cheese? Havarrrrrti! Aye” was posted on Twitter on September 17, 2009. “What’s a pirate’s favorite cheese? Hav-arrrrrrrrrrrrr-ti” was published in a 2010 book. “What’s a pirate’s favorite cheese? Havarrrrrh-ti” was posted on Facebook on January 2, 2018.
 
Cheddar has been a popular answer to this riddle. “What’s a pirate’s favourite cheese? Cheddaaaaarrrrrrrrr!” was posted on Twitter on October 2, 2009. “What’s a pirate’s favourite cheese? Cheddaaaaarrrrrrrrr!” was posted on Twitter on November 5, 2010. “What is a pirate’s favourite cheese?  Chedd-ARGHHHHHH” was posted on Twitter on November 23, 2010.
 
“What would be a Cornish pirate’s favorite cheese?”/“Yarrrrg” is another riddle about pirates and cheese.
     
   
Wikipedia: Cheddar cheese
Cheddar cheese is a relatively hard, off-white (or orange if spices such as annatto are added), sometimes sharp-tasting (i.e., bitter), natural cheese. Originating in the English village of Cheddar in Somerset, cheeses of this style are produced beyond this region and in several countries around the world.
 
Cheddar is the most popular type of cheese in the UK, accounting for 51% of the country’s £1.9 billion annual cheese market. It is the second-most popular cheese in the US (behind mozzarella), with an average annual consumption of 10 lb (4.5 kg) per capita. The US produced approximately 3,000,000,000 lb (1,300,000 long tons; 1,400,000 tonnes) in 2014, and the UK 258,000 long tons (262,000 tonnes) in 2008.
   
Wikipedia: Havarti
Havarti (Danish pronunciation: [hæˈvɑːti]) or Cream Havarti (Danish: flødehavarti) is a semisoft Danish cow’s milk cheese. It is a table cheese that can be sliced, grilled, or melted.
 
In 1852, Havarti cheese was named after the Havarthigaard in Øverød, north of Copenhagen, where the owner, Hanne Nielsen, had developed modern cheesemaking in Danish agriculture during the last half of the 19th century. Havarti was, however, not introduced in Denmark until around 1920.
   
Wikipedia: Jarlsberg cheese
Jarlsberg (/ˈjɑːrlzbɜːrɡ/; Norwegian: [²jɑːɭsbærɡ]) is a mild cow’s-milk cheese with large regular holes, that originates from Jarlsberg, Norway. Although it originated in Norway, it is also produced in Ohio and Ireland under licenses from Norwegian dairy producers.
     
Twitter   
Laurie Voss‏
@seldo
Coming up with pirate jokes for every letter of the alphabet. (“pirate’s favorite cheese?” “yarrrrlsberg!”)
3:21 PM - 14 Jun 2008
   
Twitter
John Federico‏
@gadgetboy
What’s a pirate’s favorite cheese? Havarrrrrti! Aye.
3:42 PM - 17 Sep 2009
   
Twitter
piratejokes‏
@piratejokes
What’s a pirate’s favourite cheese?
Cheddaaaaarrrrrrrrr!
6:19 PM - 2 Oct 2009
 
Google Books
Cheesemonger:
A Life on the Wedge
By Gordon Edgar
White River Junction, VT: Chelsea Green Publishing Company
2010
Pg. 182:
“What’s a pirate’s favorite cheese? Hav-arrrrrrrrrrrrr-ti,” but there was a language barrier.
     
Twitter
Bert Swattermain‏
@BertSwattermain
#altff What’s a pirate’s favourite cheese? Yarrrrrrrrlsberg
6:13 AM - 1 Oct 2010
 
Twitter
John Moe‏
@johnmoe
What’s a pirate’s favorite cheese? “I actually do like Jarlsberg but really I prefer a nice Gruyere.” #PirateJokesDeflated
8:28 PM - 22 Oct 2010
     
Twitter
Jimmy Gingerbeard‏
@PirateJimmy
What’s a pirate’s favourite cheese? 
Cheddaaaaarrrrrrrrr!
3:32 PM - 5 Nov 2010
   
Twitter
piratejokes‏
@piratejokes
What’s a pirate’s favourite cheese?
Cheddaaaaarrrrrrrrr!
9:19 AM - 14 Nov 2010
   
Twitter
Peter Holt‏
@peterholt99
Replying to @ADCC1978
@ADCC1978 What is a pirate’s favourite cheese?  Chedd-ARGHHHHHH
12:39 PM - 23 Nov 2010
 
Twitter
Evan Rapoport‏
@evanrapoport
Replying to @mireyamayor
@mireyamayor You like cheesy pirate jokes, huh? What’s a pirate’s favorite cheese? ... Chedd-aaaaarrrr.
9:32 PM - 3 May 2011
   
Twitter
Queen Bee‏
@Megebee
Replying to @tom_streeter
@tom_streeter @SheepNutz What’s a pirate’s favorite cheese? CheddARRRRRRR
2:28 PM - 19 Sep 2011
 
Google Books
101 Amazing Food Jokes
By Jack Goldstein
Andrews UK Limited
2013
Pg. ?:
What’s a Pirate’s favourite cheese?
Chedd-Arrrrrrr!
 
Puns Ville
Cheese Puns
avril 20, 2017
The funniest cheese puns ever.
(...)
What’s a Pirates favourite cheese? Chedd-AAR.
       
Reddit—Jokes
What’s a pirates favorite cheese?
submitted September 3, 2017 by carzycole
Garrrgonzola
COMMENTS
Hipcrook
What about havarrrrrrti
 
mammuthusprimigenius
I figured it’d be Yar-lsberg.
 
Twitter
Melting Pot La Jolla‏
@MPSDLaJolla
What is a pirate’s favorite cheese fondue? CHEDDARRRRRRGH! 🧀🧀🧀
#TheMeltingPot #Fondue #Cheese #TalkLikeaPirateDay #LaJolla
1:05 PM - 19 Sep 2017
   
Facebook
Crema Cafe
January 2, 2018 ·
What’s a pirate’s favorite cheese? Havarrrrrh-ti! January Sandwich Special: “The Shorty” Braised Short Rib, Havarti Cheese, Caramelized Onions pressed on House-made Sourdough Bread $8.50
 
Twitter
Liz Jones 📖‏
@ljedit
We got a box of cheese jokes for Christmas. Son’s absolute favourite (a.k.a. the only one he definitely fully understands) is quite topical today.
Q. What’s a pirate’s favourite cheese?
A. Chedd-arrr
6:13 AM - 7 Feb 2018