What are known as the Continuing churches were mostly formed in a mass departure from PECUSA in 1977, over several issues including (best-known) the ordination of women and the new prayer book. The founding document is The Affirmation of St. Louis, and you will see the term therein.
Most definitions of the Continuing churches somewhat incorrectly also include the Reformed Episcopal Church, a group that left PECUSA in the late 1800s -- yet that church and a "real" Continuing church, the APA, are in the process of merging.
I found http://www.continuingcofe.org/ - the website of the Continuing Church of England.
It says that:
"We are a group of Anglican congregations outside the Church of England, seeking to preach the Gospel of the Lord Jesus Christ and to uphold the biblical teaching of the Protestant and Reformed Church of England as expressed in the:
1662 Book of Common Prayer
and
The Thirty Nine Articles of Religion"
How closely aligned are the Continuing Churches? Or are they more self-reliant as to creed and worship?
Interesting...