Greek Byzantine Catholic Church was created in 1907.
Albanian Byzantine Catholic Church Armenian Catholic Church Bulgarian Greek Catholic Church Chaldean Catholic Church Coptic Catholic Church Patriarchate Ethiopian Catholic Church Byzantine Church of Croatia, Serbia and Montenegro Greek Byzantine Catholic Church Hungarian Byzantine Catholic Church Italo-Albanian Byzantine Catholic Church Macedonian Catholic Church Maronite Catholic Church Melkite Greek-Catholic Church Romanian Greek-Catholic Church Ruthenian Byzantine Catholic Church Slovak Byzantine Catholic Church Syriac Catholic Church Patriarchate Syro-Malabar Catholic Church Syro-Malankara Catholic Church Ukrainian Greek-Catholic Church
Belarusian Greek Catholic Church was created in 1990.
St. Nicholas Ukrainian Catholic Church was created in 1906.
Greek-Catholic Church of Virgin Mary's Birth - Košice - was created in 1898.
St. Joseph the Betrothed Ukrainian Greek Catholic Church was created in 1956.
The Byzantine Empire's dates run from  A.D. 330 – 1453. Until the Eastern Orthodox Churches split from the Catholic Church in A.D. 1054 there were no "branches" of Christianity, there was only the Catholic Church.
Rachel Eliza Mann has written: 'St. Mary orthodox church' -- subject(s): American Carpatho-Russian Orthodox Greek Catholic Diocese in U.S.A., Byzantine rite, Ruthenian, Catholic Church, Church architecture, Ruthenian Americans, Ruthenian Byzantine rite
The Byzantine Church was used for worship. Following the death of the Roman Emperor Constantine, the Roman Empire split into the Roman Empire and the Byzantine Empire. Eventually, the Bishop of Rome became the head of the church in the Roman Empire. Over the years, that church became the Roman Catholic Church. The Bishop of Constantinople became the head of the Byzantine Church. That church evolved into the Greek Orthodox Church and still exists today.
They were mostly Christian, and after 1054, split from the catholic, or universal church, and are usually referred to as "Greek Orthodox."
Roman Catholic AnswerThe Greek Church outlawed the use of statues and uses icons as being less "life-like". The Roman Church does use icons, just not as exclusively as the Greek Church does.
The catholic church is sometimes considered the collection of churches that developed out of the Great Schism (namely, the Roman Catholic Church and the Eastern Orthodox Church). Although I have never heard someone use the term "catholic orthodox church," I would consider it to be referring to the Eastern Orthodox Christian religion.
The pope for Roman Catholics (Catholics who attend mass in the Latin rite), as well as for Catholics of the Byzantine Catholic Church, the Ethiopian Catholic Church, the Greek Catholic Church, the Maronite Catholic Church, the Assyrian Catholic Church, and many more, none of which celebrate the Roman rite, but all of which are in union with the Pope.