Both the Eastern Orthodox and the Western Catholic branches of Christianity claim to have the same 'pillars' of religious foundations.
the Eastern Orthodox Church and the Roman Catholic Church
Eastern Orthodox
Anyone other than Eastern Orthodox eg Oriental Orthodox, Catholic, Protestant
To differentiate between Eastern Orthodox, Oriental Orthodox, Assyrian Church of the East one would use Roman Catholic.
Roman Catholic, Eastern Orthodox, and Protestant.
icon
No difference in their beliefs. They are both part of the Eastern Orthodox Church, but the Antiochians are mainly Orthodox people from Lebanon, and the Greeks are mainly Orthodox people from Greece.
Roman Catholic, Protestant, Eastern Orthodox
Eastern Orthodox Christianity, Christianity, and Catholic.
The Eastern Orthodox religions
There are Eastern or Byzantine Rite Catholics but they are in full union with Rome as opposed to the Eastern Orthodox Churches which are not. There was a brief period in the 20th century, when a separate Orthodox Church broke away from the Eastern Orthodox Church in America and formed the America Orthodox Catholic Church. But it was yet another splinter of an already splintered Church. orthodox (small "O") means right belief, and thus is synonymous with Catholic. Now, there is also an Orthodox Catholic Church of America, also not in Communion with the Catholic Church. . You may read about the American Orthodox Catholic Church at the links below.