The difference between Cock-and-bull story and Shaggy dog story
When used as nouns, cock-and-bull story means a far-fetched and fanciful story or tale of highly dubious validity, whereas shaggy dog story means a long-winded joke or tale featuring the narration of typically irrelevant details, and usually ending with an absurd or pointless punchline which is often a pun or spoonerism on a known catchphrase.
check bellow for the other definitions of Cock-and-bull story and Shaggy dog story
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Cock-and-bull story as a noun (idiomatic):
A far-fetched and fanciful story or tale of highly dubious validity.
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Shaggy dog story as a noun:
A long-winded joke or tale featuring the narration of typically irrelevant details, and usually ending with an absurd or pointless punchline which is often a pun or Spoonerism on a known catchphrase.