I agree with all the Trinitarian and Christological teachings of all SEVEN of the 'Ecumenical' Councils, as does the Anglican Catholic Church of which I'm a member (and so does the other 'Continuing Anglicans' and many of the traditionalists who are yet still in the Anglican communion).
As for as other Anglicans (not counting the liberal apostates of the TEC for instance), I know many accept the first four or the first six. I think this is primarily because at the Reformation these first four--Nicea (325), Constantinople (381), Ephesus (431), and Chalcedon (451)--were considered the most important, given their crucial subject matter, and as they took place in the first five centuries of the Church, while the different geographical areas of the Church were still largely unitied and the limits of the canon was just being officially "closed". However, it's easy to demonstrate that the Christological clarifications of the next three--Constantinople II (553), Constantinople III (681) and Nicea II (787)--are conformable with those of the first four, which is why as the years progressed many classical Anglicans have embraced at least the first six if not all seven (some still have a hang up on the 7th particularly in regards to iconography).
If I'm not mistaken most Lutherans and Reformed accept at least the first four as well, as do most conservative Methodists and knowledgeable Baptists.