Well, it depends on what you count as the “Anglican Mass.” Cranmer’s two liturgies (the relatively conservative 1549 and the much more radical 1552) were composed while Trent was meeting, and before the official “Tridentine” revision and standardization of the Roman Mass. The Catholic use Cranmer would have known best was that of Sarum, or Salisbury, which was the standard use for southern and eastern England. Cranmer translated and adapted the Mass, but he also radically Protestantized it, particularly with regard to the question of sacrifice.
The official English BCP to this day is that of 1662, which is basically Cranmer’s with some tweaks (which take it back in a slightly more Catholic direction). The American tradition is based on the Scottish, which is more informed by 17th-century patristic/liturgical scholarship coming out of the “high church” movement, and thus less nervous about the idea of sacrifice (though still clearly speaking of a sacrifice of praise and thanksgiving rather than making the Mass a propitiatory sacrifice in any sense). However, the Episcopal Church revised its BCP quite radically in 1979, taking it closer to the post-Vatican-II Western Catholic liturgy (the same body of liturgical scholarship informed both revisions). In England, they haven’t officially replaced the 1662 BCP (they need an Act of Parliament to do that), but de facto the most commonly used liturgy today is the “Book of Common Worship,” which contains a variety of formularies with a “post-Vatican-II” bent similar to that of the 1979 American BCP. (Many of the very low-church C of E Anglicans don’t use a formal liturgy at all, I’ve been told.)
The basic difference is the theology of sacrifice. More broadly, Cranmer structured the liturgy to reflect Protestant soteriology, beginning with the proclamation of the Law (the 10 Commandments), through the proclamation of the Gospel, confession of sin and acknowledgment of our need for grace, and then the Eucharist itself as the offer of God’s forgiveness. He moved all the language about sacrifice–offering ourselves, our souls and bodies, to the prayer of thanksgiving, and he also put the Gloria in Excelsis at the end, because in his theology you can only praise God once you have received assurance of forgiveness. The Scottish/American tradition moved back in a more traditional direction on some of these points.
Well, Low Church Anglicans wouldn’t call it Mass. In fact, using the term “Mass” is one of the signs that you’re dealing with an Anglo-Catholic. The most extreme Anglo-Catholics abandoned the BCP in the late 19th or early 20th centuries (GKC would know more) for the “Anglican Missal,” which was basically a translation of the Roman Rite. At the other end of the spectrum, especially in England (and also in parts of Australia), very low-church Anglicans worship in ways that look a lot like regular old free-church Protestantism. But the Book of Common Prayer has provided a unity for the broad middle of Anglicanism, with wide diversity in ceremonial and application. (For instance, High Church Anglicans would be more likely to have daily services, even daily Mass, while Low Church Anglicans would focus more on Sunday worship, and in the past often did not have weekly Eucharist even then–in the U.S. today weekly Eucharist is almost universal, though I think the English situation is different).
The liturgical movement of the mid-to-late 20th century brought unity in some ways, by interpreting and applying the liturgy in a more ecumenical fashion (for instance, the new focus by Anglo-Catholics and for that matter Roman Catholics on the Eucharist as the act of the community made a rich sacramental theology more accessible to non-Anglo-Catholics), but it also led to a proliferation of different ways of celebrating the liturgy. The American BCP is relatively unified–the Church of England today seems to have no real common liturgy at all any more, from what I hear.
Not exactly. The equivalent there is between those who hold to the older forms of the Prayer Book (1662 in England, 1928 in the U.S.) or to the Anglican Missal on the one hand, and those who accept the liturgical revisions on the other (though there’s a “Rite I” in the 1979 American BCP that is very similar to the 1928 version, which allows for a moderate traditionalism). Both high-church and low-church Anglicans can be found among those who reject the new rites, though they give somewhat different rationales. (In England, as I said, the extremes on both sides are more likely to reject the Prayer Book altogether, but there are Prayer Book traditionalists there too.)
Edwin