Yes, Anglo-Catholicism is a tradition in the Anglican churches that was revitalized by the Oxford movement (led by J.H. Newman, who as you may know, later entered the Holy Roman Church and was eventually made a cardinal and has recently been beatified; while still an Anglican, he believed that there were 3 valid branches of Christianity- Roman Catholicism, Eastern Orthodoxy, and Anglicanism) in the 19th century. There are different strains of Anglo-Catholics, including Affirming Catholics, who are social liberals like many mainstream (Low or Broad Church, as opposed to the High Church, which is practically synonymous with the Anglo-Catholics) Anglicans are, traditional Anglo-Catholics, who are more conventional in their moral outlook and are prone to be against things like abortion, gay marriage, and female ordination (all of which have already been accepted by much of the Anglican Communion, particularily by the Episcopal Church in the U.S., and Anglo-Papalists, who are like the conventional Anglo-Catholics yet even desire for the Anglican Communion to be reunited with Rome. Obviously, Anglo-Catholics will adhere to Roman Catholic doctrine and practice in varying degrees. But Anglo-Catholics are in no means in communion with the Pope, that is unless they have actually left the Anglican Communion and entered the Roman Catholic Church as a group. An example of “Romanized” Anglo-Catholics would be those who are members of Anglican Use parishes or, if in England, are under the jurisdiction of the recently constructed Personal Ordinariate of Our Lady of Walsingham. Personal ordinariates for Anglo-Catholics who wish to come home to Rome are likely to soon be established in other English-speaking countries