TV show vs special

TV show and special both are nouns.

Word	Noun	Adjective	Verb	Adverb
TV show	Yes	No	No	No
special	Yes	Yes	No	No

As nouns, special is a hyponym of TV show; that is, special is a word with a more specific, narrower meaning than TV show:

TV show: a program broadcast by television
special: a television production that features a particular person or work or topic

Other hyponyms of TV show include colorcast, colourcast, pilot, pilot film, pilot program, sitcom, situation comedy.

TV show (noun)	special (noun)
a program broadcast by television	a special offering (usually temporary and at a reduced price) that is featured in advertising
	a television production that features a particular person or work or topic
	a dish or meal given prominence in e.g. a restaurant

TV show (adjective)	special (adjective)
	for a special service or occasion
	first and most important
	adapted to or reserved for a particular purpose
	having a specific function or scope
	surpassing what is common or usual or expected
	added to a regular schedule
	unique or specific to a person or thing or category