Brendan:
You are confusing the Roman rank of Patriarch with a Sur Juris Patriarch.
The Roman Church uses the term ‘Patriarch’ in 2 senses.
Certain Latin archbishops are awarded the Roman rank of Patriarch. The archbishop of Venice, for example, is a Roman Patriarch. They do rank under the Cardinal, but above other archbishops.
Brendan,
Actually, as to the rights of the Latin Patriarchs:
Canon 438 The title of Patriarch or Primate gives a prerogative of honour, but in the Latin Church does not carry with it any power of governance, except in certain matters where an apostolic privilege or approved custom establishes otherwise.
In the Latin Church, there are presently 4 Patriarchs, other than the Pope as Patriarch of the West. There is only a single Major Latin Catholic Patriarch (other than the Pope in his capacity as Patriarch of the West). His position is the only extant Latin Catholic Patriarchate of the Orient. His Patriarchal title is largely (but not entirely) ceremonial. (His exercise of authority is in his archepiscopal capacity.) The incumbent is:
His Beatitude Michel Sabbah, Patriarch of Jerusalem for the Latin Catholics & Archbishop of Jerusalem of the Latins
Minor Latin Catholic Patriarchs of the West
There are 3. For each of them, the title is honorific or ceremonial (although only 1 of the 3 is actually styled
ad honorem). The titles carry with them no jurisdictional authority; those who hold the seats derive that authority from their archepiscopal roles. The incumbents (and a bit of the history of each title) are:
His Eminence José da Cruz Cardinal Policarpo, Patriarch & Archbishop of Lisbon
The Patriarchal title currently held by the Cardinal Archbishop of Lisbon was created in response to secular, rather than religious, need. The Portuguese King John asked for (and was granted) it as a condition of supplying troops to assist in fighting the Turks - so, I guess he can be said to have bartered for it, rather than “bought” it. He wanted a patriarch for Portugal because Spain had one (more about that below). The position originally was attached to the King’s chapel and was separate from the Archbishopric of Lisbon; the churches and other religious institutions of the city were divided between the two. That situation changed about 25 years later when Pope Benedict XIV merged the 2 positions.
His Eminence Angelo Cardinal Scola, Patriarch & Archbishop of Venice
Frequently, people presume that the Venetian Patriarchate exists because the See traces its origins to Saint Mark. Actually, its history isn’t much more noble than that of Lisbon. In the early centuries, it wasn’t uncommon that the title “Patriarch” was loosely used to honor bishops who were thought of highly or who ruled Sees that had a particularly venerable history. In one northern Italian diocese, a bishop began to take the title seriously and decided that he and his jurisdiction should be subject to neither Rome nor Constantinople. So, for about 150 years, from the mid-6th century to around 700 AD, the Church was plagued by a schism in that region, which ultimately involved two dioceses. For some bizarre reason, even after the schism ended, Rome tolerated continued use of the title. Ultimately, the 2 dioceses came to be merged into the See of Udine, part of the Venetian Republic, and in 1750 (or thereabouts), Pope Benedict XIV declared the title changed to Patriarch of Venice.
His Excellency, The Most Reverend Filipe Neri António Sebastião do Rosário Ferrão, Patriarch
ad honorem of the East Indies & Archbishop of Goa & Daman
This patriarchate was actually created late. Leo XIII established it around 1885, reportedly as a balance to that of the West Indies (see below). This was another instance of balancing Spanish and Portuguese sensitivities. There has been speculation that when the See is next vacated, the title will not be granted to the successor archbishop and the patriarchate will be suppressed
de facto, if not
de jure.
The Patriarch
ad honorem of the West Indies
sede vacante]
The fourth and only other Minor Latin Catholic Patriarchate of the West was erected in the Spanish hierarchy in the early 16th century, as a consequence of Columbus’ discovery of America. It anticipated that the patriarch would reign over it, which never happened. The position was ultimately joined with a Spanish military hierarchical post and never exercised any jurisdiction. This patriarchate has been vacant since 1946 and it is generally considered to be suppressed,
de facto, though not
de jure.
(continued)
.
(and the Titular Latin Patriarch 
, if that dignity is not also suppressed, which - I think - it is).
