High Church Anglicanism believes in that same sacrifice while trying to reconcile the Mass with Reformed theology. It is invalid, but they believe it all the same.
Many Anglo-Catholic churches in England also celebrate the Novus Ordo, omitting only references to the Pope in the eucharistic prayers.
The problem with the Church is not one of Protestantization per se. The problem appears to be that most dioceses are trying to recreate the Anglican experiment of reconciling fundamentally inconsistent theologies within one Church.
Let us allow to the reformed at least the dignity of the consistency of their errors as to the Mass. Lutherans do not believe, whatever their service may look like, that they are making the sacrifice of Jesus Christ upon the cross immanent upon their table (which is therefore not an altar). Nor do other "reformed" churches believe that the sacrifice of Jesus Christ upon the Cross is being made immanent upon their tables if they even have tables. The Anglicans or whatever are not Catholics whatever they may pretend. They have no priests because they have no apostolic succession. On the other hand, they are not fully Protestant either. They can imitate Tridentine Masses, if they like, but it won't make them Masses since they have no priests. I stand by my claim.