1.The Apostles Peter and Paul were martyred at Rome and commissioned successors there.
http://www.newadvent.org/fathers/0103303.htm1
My Reply: I don’t think any Orthodox deny this.
2.The successors of Peter and Paul at Rome have consistently asserted their authority over the entire worldwide church, which has been met with only sporadic opposition.
http://www.newadvent.org/fathers/1010.htm
My Reply: Sure, they have “asserted” this authority. The opposition has been far from “sporadic.” Most of the time, the other Apostolic Sees politely ignored Old Rome, as one does when a brother says something objectionable and offensive.
3.The tradition of the Eastern Orthodox is built primarily on the church of Constantinople. The “pentarchy” is a myth that was invented in the second millennium by Eastern Orthodox apologists.
My Reply: And the Tradition of the Roman Catholic Church is the Latin Rite, steeped in it’s language and culture. A few other “Rites” have been picked up along the way, but let’s not pretend that there is some kind of parity. This argument is actually used by Non-Chalcedonian Christians (Copts, et al) against both us and you, in their saying that they alone have preserved the true diversity of practice in the early centuries. Asserting it was invented doesn’t make it so.
4.Constantinople’s only claim to apostolic succession is that Saint Andrew visited there. But that doesn’t distinguish Constantinople from any of the other cities that were visited by the apostles.
My Reply: This sort of nastiness is also directed against Antioch in Catholic polemics in trying to knock their claim as a Petrine See. I don’t think your Pope or anybody in your hierarchy disputes Constantinople’s ties to St. Andrew.
5.Constantinople had no significance for the first 300 years of the Church. Meanwhile the Bishop of Rome was settling church-wide disputes from the 1st Century.
My Reply: Old Rome was held in high esteem once. No Orthodox dispute this either. There is no need to try and tear down the Church of Byzantium (Constantinople’s predecessor).
6.Constantinople’s only claim to importance is that the Roman Emperor chose it as the new imperial capital in 4th Century. The Byzantines even stated this expressly as their justification for trying to elevate Constantinople to a patriarchate in the 2nd and 4th ecumenical councils.
My Reply: And Old Rome didn’t use it’s Imperial pedigree? If we want to play this game, Jeruselem should be the rightful first See (an argument could be made that perhaps that should indeed have been the case)