That sounds nice, superficially, but such an ideal church suffers from the not inconsiderable problem that it doesn’t actually exist. The One Holy Catholic and Apostolic Church still exists, but a series of unfortunate schisms have resulted in division, so you have the four ancient churches (Roman Catholic, Eastern Orthodox, Oriental Orthodox and the Church of the East), some minor schisms from the Eastern churches (almost entirely in protest of ill-advised changes to the liturgy; these chiefly include the Russian Old Believers and the Greek, Romanian and other Old Calendarists), and resulting from a period of severe corruption in the Roman church lasting from the Great Schism until the admirable Counter Reformation under Pope Pius V, which started to become progressively worse in the late 13th century with the dreaded Inquisition and subsequently, the decadence of the Avignon Papacy and the Borgias, we saw the emergence of the Magisterial Protestants such as Luther, Cranmer and Calvin.
Of these three, the Lutherans and Anglicans in particular, as well as the Anglican-descended Methodists, and the liturgical Presbyterian adherents of what is known as Mercersburg Theology, who are sometimes called Scoto-Catholics, have done an admirable job, in my opinion, preserving the Apostolic faith. Interestingly, two of the earliest reformers, St. Jan Hus and St. Jerome of Prague, who desired a restoration of vernacular liturgy and communion in both kinds, which had been lost when Austria conquered the Czech lands, and imposed the Roman Rite*, were the original founders of the second oldest Protestant denomination**, and the oldest non-Calvinist Protestant denomination, the Moravians, and are also venerated as saints in the Eastern Orthodox Church of the Czech Lands and Slovakia.
So, basically any of the churches whose members identify with the spirit of the Traditional Theology
*after the subsequent Union of Brest-Litovsk and the Counter Reformation, this would not have happened, in that the Roman Catholic Church under the good leadership of bishops like Pope Pius V and Carlos Borromeo the bishop of Milan ceased to impose changes in liturgical rite, and instead developed the Eastern Catholic Churches, and by 1911 a full equivalence of rite was at least in theory and in the view of Pope Pius X the official position; one of the few good things to come out of Vatican II in my opinion was that this was finally delivered on, and the various changes to the Eastern Rite liturgies, which most liturgical scholars call Latinizations, but which I prefer to call Romanizations, as they represented the imposition of practices specifically from the Roman Rite, and were also applied to other Western Latin liturgical rites, like the Ambrosian Rite and the Dominican Rite, were mostly removed from the various Eastern Catholic liturgical rites, although unfortunately not from the other Western rites; indeed the Dominican Rite came very close to disappearing and there was a time when the Carmelite Rite was disused, and in Portugal, the traditional Rite of Braga is seriously endangered.
** The oldest Protestant denomination is the Vaudois, or Waldensians, which started as a group of unsanctioned friars similiar to the Lollards of England, around the same time, but they were much more successful, organizing into a church in Southeast France. In the 16th century, following the horrifying massacre of 15,000 Vaudois men, women and children in Piedmont, through which they had been promised safe passage, the surviving Vaudois settled in Switzerland and embraced Reformed Calvinist theology, and there is at least one Waldensian parish in the Presbyterian Church, USA. In Europe, the Vaudois returned to Italy and recently merged with the Methodists to create the largest Protestant church in Italy. However, anyone hoping for a primitive Protestant church is in for a disappointment, as the Waldensians are essentially a Reformed church along Continental European lines, which also now embraces Methodist as well as Calvinist positions, much like the United Church of Canada or the Uniting Church in Australia.
