did they ever have any?

In Jeannie Breaks the Bank (19 Dec. 1966) Jeannie puts $3 million in Tony's Christmas club account.

This is as close as it came to having a Christmas episode I believe.

According to everything I've read, and been told, Sidney Sheldon did not want to have to mess with holiday episodes if the series went into syndication (as it did). He figured that Jeannie was supposed to be from ancient Babylon anyway, so why would she understand Christmas, Halloween, or any other USA holiday?

If you're in the mood for some Jeannie holiday episodes, check out our website's fan-fiction "episodes" that cover holidays:

"A Very Jeannie Carol"
http://www.jeanniesisters.com/fanfics/virtualseries/161.html

"Jeannie's Holiday Magic"
http://www.jeanniesisters.com/fanfics/virtualseries/162.html

"Twas the Night Before Christmas"
http://www.jeanniesisters.com/fanfics/virtualseries/183.html

"The Who's Down in Who-ville"
http://www.jeanniesisters.com/fanfics/virtualseries/233.html

"Cole for Christmas"
http://www.jeanniesisters.com/fanfics/virtualseries/263.html