OCA/Moscow Patriarchate has the “Rite of St. Tikhon”, which is essentially a Book of Common prayer service, heavily modified largely in the direction of the old Sarum rite, the Roman Catholic Missal, and with an epiklesis. (Note, one of the American BCP’s had a form of an epiklesis).
I don’ t know much about the Antiochians but I’m quite sure their “Rite of St. Gregory” is very, very close to the 1962 Roman Catholic Missal, but in English, with epiklesis. They may also have their own BCP-variant on top of that. I don’t know. In Europe, the Antiochians have also revived the Gallican rite (one of the predecessor rites of the current Roman rite, and source of the Gloria).
Needless to say, it’s popular with converts from Anglicanism and Roman Catholicism.