I would seek a return of the church of Hagia Irene, currently a concert hall. I'd raise funds to paint over the empty walls & iconoclastic crosses with iconography, and raise funds to renovate the building and making it structurally stable. I'd also attempt to raise funds to purchase nearby buildings which currently are part of the whole Topkapi Museum complex (they aren't for displays) and seek to move the Patriarchal headquarters there. It's not Hagia Sophia, but it is the second largest church in Istanbul, plus it was originally the seat of the Archbishop there prior to Hagia Sophia.
I'd also seek the full return of Halki Seminary and seek to reopen it as a seminary, and also seek to build an orphanage and rehab center on or near the island.
I would actively seek to get Turkey to respect and recognize Orthodox populations and seek equality between peoples. I'd also campaign in the EU, Russia & US to pressure Turkey to improve human rights and rights of all Christians within Turkey.
I'd also declare Turkish as a valid liturgical language for common use within Turkey and I'd encourage Orthodox missionaries to work within the nation, and also encourage Greeks and others to move into Turkey and settle near any Orthodox Churches.
I'd also seek to reunify the Church of Greece with the Patriarchate. I would release my churches in Sweden, Finland, Estonia and any Ukrainian Churches to the Church of Russia, possibly in a deal to bring all North American Churches under my omophor as an autonomous church, and release my churches in South America to Antioch.
Along with this, I'd also back off on Ecumenical efforts with the Roman Catholics, and strengthen/increase Ecumenical efforts with the Oriental Orthodox.
That was literally most of what I was going to say. I would, however, add a few more things. My order of business would be as follows:
1. I'd begin a massive public-relations campaign in Turkey. The Prime Minister has recently said something along the lines that the 1,100 years of Byzantine rule over Turkey [sic] were some of Turkey's [sic] darkest times. I'd go to the Turkish media to respectfully refute that, and show the people of the Republic that we are not some 5th Columns or subservient to Moscow or any other foreign power. Who knows, maybe this could awake the teachings of Christ within some Turkish people; I would hope so.
2. Next, I’d rally my fellow Bishops in Christ to the cause of reunification with the Oriental Orthodox Churches. I think that that would be incredibly difficult, but I'd try my hardest to convince my equals that Union is possible, beneficial, and part of God’s plan for Christians. At the same time, I'd let any attempts of unification or ecumenical relations with the Catholics fizzle out. I need as many minds as I can get on creating a union that would be satisfactory to God and to His loyal servants. If I could see Union during my days as His All Holiness, then I'd move on to Phase III.
3. I think that it's time to see a proper Patriarch in Kiev. If that can happen, God-willing, I'd like to see defences of Orthodoxy written and easily available for interested Ukrainian Catholics in order to bring them home. This reminds me—the Jehovah’s Witnesses and Protestant missionaries in Athens are really irritating. I think the Church needs to write apologetic-works against each tradition that are going to reduce both sides to taking cheap and untrue shots at us because they don't have any legitimate comebacks.
4. I think it's time to reunite the Church of Greece with the Patriarchate again. The Turkish Republic might be belligerent and problematic, yes, but hey, it's not early-mid 19th Century Ottoman Empire, now is it? The main issue that I see would be the Post WWII land-deal between the Hellenic Kingdom and the Church of Greece that the Hellenic Republic has also adopted. Might we have to release the land to the Republic? I don’t know—I’m not that smart in my current, non-Patriarchal self.
5. I think it's also time to see the celebration of Divine Liturgy in New Greek. I know some bishops argue that translation might be problematic, so I'd need to find a way around any and all problems. One example is that translating "Χαίρε Νύμφη Ανύμφευτε" would be awkward because in New Greek it would be expressed as "rejoice, bride who is not married" instead of “Rejoice, Bride unwedded,” or that "Άρτος and Οίνος" sound better than "Ψωμί & Κρασί." I'd try my hardest to find an accurate translation of all of our ecclesiastical works that satisfies even the most hardliner-critics.
6. After working with Modern Greek, I'd move on to Modern Turkish translations. The Bible, some prayers, and bits of the liturgy have already been translated into Modern Turkish (the Church of Antioch has such a translation of the Divine Liturgy of Saint John Chrysostom), so I think that this would be a relatively easy task. Not that "easy" exists in Orthodoxy, but hey, it would be an easier task than uniting two Churches, right?
7. I think that the Church needs to restart orphanages in the City. I would hope to find enough Turkish-speaking Orthodox Christians that can teach small children, and I would not limit teaching positions to monks or clergy. I suppose this would go hand-in-hand with a reinvigoration of the remaining schools of Istanbul. As of now, only Turkish- citizens may attend our schools (like the College of Fanari or the Zografeion Lyceum), and I'm going to take that up with the Turkish Court System or die trying. Hey, if the Church can see a reinvigoration of the school system in Constantinople, why stop there? Why not move onto Smyrna, or Trebizond?
8. It's time for the Rum to come home. Nea Smyrni don’t cut it in my book; I want to see Palaia Smyrni again! Athens needs a population reduction, anyway; that city is not cut out to hold three million people. Likewise, there's no reason that the Bulgarian population of Constantinople and Adrianople need to be left out as well. Likewise, I'd encourage more Russian immigration to Turkey.
9. If the Church has any money left, I'd look into repurchasing land confiscated by the Republic. If I have to agree to a church/museum combination to satisfy Ankara’s politicians, then so be it.
10. If it already hasn't happened already (I'm sure by the time that I'm of age to be the Patriarch, both problems will be solved), I'd try to again rally my fellow Bishops to the cause of uniting the Church in the Americas and Great Britain, both Eastern Riters and Western Riters alike. I'd propose that the religious capital of the Archbishopric be Chicago (what? It's my hometown, cut me some slack), and I’d also encourage missionary work with the urban and rural poor. In the past, some Non-Jurors were interesting in joining the Church, and they proposed that any English Church be a part of the Church of Alexandria. I say so be it—unite all Orthodox Christians in the United Kingdom and the Republic of Ireland (and the Channel Islands) under the Patriarch of Alexandria just as the current Greek Orthodox Archdiocese of America is "under" Constantinople. I'd also encourage High Church Anglicans and Methodists (yes, they exist) disenfranchised by their own Church and seen as stuffy relics of a bygone era to join our own Communion, where we'd have a place for them in this new, quasi-Alexandrine Church.
11. After all of this is said and done, I'd probably retire to Halki, or maybe that small church in Kandilli that I'm so fond of. I'd set the stage for my successor to look into union with the Assyrian Church of the East and setting up a missionary programme to Eastern Catholic lands. If I could get just one of these accomplishments done, I'd die a happy priest.