The authentic Book of Common Prayer is that of 1662. There have been other books which have contended for it, but they are pretenders, and 1662 is the universal Anglican formulary, whether particular Anglican churches like that fact or not.
The Eucharistic sacrifice, from Saepius Officio:
‘For first we offer the sacrifice of praise and thanksgiving; then next we plead and represent before the Father the sacrifice of the cross, and by it we confidently entreat remission of sins and all other benefits of the Lord’s Passion for all the whole Church, and lastly we offer the sacrifice of ourselves to the Creator of all things which we have already signified by the oblation of His creatures. This whole action, in which the people has necessarily to take its part with the Priest, we are accustomed to call the Eucharistic Sacrifice.’
As for other particular beliefs, the Anglican positions can be found in the Thirty Nine Articles of Religion, which is not merely an “historical document” as some claim, but a living testimony to the Reformed and Catholic faith (as evidenced by the fact that its opening articles are those of the Creeds).