Wikipedia has modified their page on Continuing Anglicanism and it makes for rather interesting reading:
The Continuing Anglican movement encompasses a number of Christian churches in various countries that profess Anglicanism while remaining outside the Anglican Communion. These churches generally believe that “traditional” forms of Anglican faith and worship have been unacceptably revised or abandoned within some Anglican Communion churches in recent decades. They claim, therefore, that they are “continuing” or preserving Anglicanism’s line of Apostolic Succession as well as historic Anglican belief and practice.
The modern “Continuing” movement principally dates to the 1977 Congress of St. Louis in the United States, at which meeting participants rejected the ordination of women and the changes that had been made in the Episcopal Church’s Book of Common Prayer.
Much more here.