theme park vs funfair

theme park and funfair both are nouns.

Word	Noun	Adjective	Verb	Adverb
theme park	Yes	No	No	No
funfair	Yes	No	No	No

As nouns, funfair is a hypernym of theme park; that is, funfair is a word with a broader meaning than theme park:

theme park: an amusement park that is organized around some theme (as the world of tomorrow)
funfair: a commercially operated park with stalls and shows for amusement

Other hypernyms of theme park include amusement park, pleasure ground.

theme park (noun)	funfair (noun)
an amusement park that is organized around some theme (as the world of tomorrow)	a traveling show; having sideshows and rides and games of skill etc.
	a commercially operated park with stalls and shows for amusement