High Church vs High Anglican Church

High Church and High Anglican Church both are nouns.

Word	Noun	Adjective	Verb	Adverb
High Church	Yes	No	No	No
High Anglican Church	Yes	No	No	No

As nouns, High Church and High Anglican Church are synonyms defined as:

High Church and High Anglican Church: a group in the Anglican Church that emphasizes the Catholic tradition (especially in sacraments and rituals and obedience to church authority)

High Church (noun)	High Anglican Church (noun)
a group in the Anglican Church that emphasizes the Catholic tradition (especially in sacraments and rituals and obedience to church authority)	a group in the Anglican Church that emphasizes the Catholic tradition (especially in sacraments and rituals and obedience to church authority)