We got experiential proof that the Anglican "branch theory" is heresy from a bad Anglican bishop (nowhere near as bad as Spong, but. . .), and followed our priest, the once Rev. Richard Hatfield, Dean of Christ Cathedral, now Fr. Chad Hatfield, Academic Dean of St. Herman's (Orthodox) Seminary, Kodiak Island, AK back to the One Holy Catholic and Apostolic Church, usually called since the 11th century "the (Eastern) Orthodox Church".
If you really like the BCP, a version of the Anglican liturgy with corrections proposed by the Holy Synod of Moscow at the behest of St. Tikhon (in the context of ecumenical dialogues between St. Tikhon and Anglican Bishop Grafton in the early 1900's, back when Anglican inclusiveness didn't extend to non-Christians, only to a motley variety of Christian heresies) and implemented by the Antiochian Archdiocese years later is authorized as one of the two Western Rite Liturgies in the Antiochian Orthodox Archdiocese of North America. You might be lucky and find one of the Western Rite parishes using the Divine Liturgy of St. Tikhon near you! Our community prefered to take the plunge, and learned the Divine Liturgies of SS. John Chrysostom, Basil the Great and Gregory the Dialogist (the last for weekdays during Lent), and started living the normative Orthodox liturgical life as it has been since the 5th century when the older liturgies got shortened into their current form by those notable saints.