What about the effects? Jesus commissioned the Apostles to spread the Gospel to the world. How much of that has happened in the Orthodox Communions? They have typically ministered to their own communities, with little impact on the rest of the world. Whereas the Latin Catholic Church has spread to almost every country.
In addition to Cavaradossi’s observation regarding the political reality of the RCC which makes this seem so, there is another way to approach this question: Much of your Christianity is based upon Orthodoxy and the work the Orthodox have done, without you knowing it. Every time you read from the most commonly accepted canon of the NT, you are confirming a list of books originally given by HH St. Athanasius the Apostolic of Alexandria, some ~1200 years before your own Latin canon was closed. When your monks practice according to the rule of St. Benedict of Nursia, the father of Western monasticism, they are living out a modified form of the life originally established by St. Pachomius of the 4th century Egyptian desert. The influence of the Orthodox on the rest of the world is not necessarily less than that of the West; it is, however, older. You have already forgotten it, so it seems like it’s not there, but it is.
Quiz: How many non-Catholics can name the present Pope? Pope Francis (and his predecessors) are almost daily in the Google news feed. When a new Pope is chosen, it is on live TV on every network.
Major confirmation bias here. You are probably in a Western country, reading news in English made primarily for and by other westerners. If you were to look to other sources, you might see a different story. I mean, if I wanted to post in this manner, I could say that the lack of coverage of Pope Francis on Aghapy or CTV (Coptic Orthodox TV channels) means that he is irrelevant, but it doesn’t. He’s just not important to the majority of the viewership of those channels, just like the majority of Western Google users don’t know or care about Orthodoxy. Funnily enough, when I search a major Egyptian newspaper, like Al-Ahram (the largest circulating newspaper in Egypt, and the second oldest)
for the term “Pope” in Arabic, guess who comes up first? HH Pope Tawadros, not the Roman Pope (you don’t need to read Arabic to see this; just click the link and look at the pictures…the two men don’t exactly look like brothers).
How many non-Orthodox can name the present Patriarch of Constantinople? (I can’t) Did anyone watch the coverage of his selection? (what coverage?) How many non-Orthodox can name ANY former Patriarch of Constantinople? (I can’t)
And your admitted ignorance is supposed to prove something positive about your church? :ehh: Quick: Can you name the current Patriarchs of the Eastern Catholic Churches with whom you are in union, without having to look them up? If you can’t, does that mean that your communion is insignificant or a failure or whatever you’re trying to say about Orthodoxy by admitting that you don’t know anything?
What IMPACT has the Orthodox Church had on history beyond its traditional borders?
Its traditional borders were the entire world, unless you somehow want to argue that ecclesiastical divisions decide which church should be found where (which calls into question every church of your communion outside of the West, as Rome is the only apostolic see in the entire Western world). History shows us that there were in fact Latin churches in the East (or else Patriarch Michael would have had nothing to close down in Constantinople a year before the formal East-West schism), Eastern churches in the West (Byzantine Greeks in Italy, Malta, etc.), Oriental (Orthodox) churches in Nestorian/East Syrian territories (Syriac Orthodox dioceses in Central Asia in the Middle Ages, including Afghanistan, Eastern Iran, and today’s Turkmenistan), etc. The drawing up of traditional territories has more to do with what was recognized in ancient times to be the territory to be governed by a particular Patriarch (see, for instance, the canons of Nicaea), which also seems like an area that a Roman Catholic would not want to go into, since the recognition of this reality contradicts the current RC stance that their Patriarch has universal jurisdiction over the entire church in the whole world.
Or what IMPACT on human civilization?
Oh, I wouldn’t say that. What kind of impact do you think Christianity has had on human civilization? I would say it has had quite a bit.
Latins are Catholic, and Orthodox are Catholic. But only one of us has changed the face of the whole world. The other has barely scratched the surface.
Latins changed it largely through colonial successes, which were ultimately untenable. In its European homeland, the Roman Catholic Church is desperately ill. As a point of comparison (not a value judgment), in places where Christianity did not arrive with colonizers, e.g., Ethiopia, the native Orthodox Church is doing well (not perfect, of course, particularly as it is surrounded by Islamic and Protestant aggression both internally and beyond its national borders, but quite well, all things considered), and has responded to the missionary imperative that is natural to Orthodoxy by establishing many churches in the ‘diaspora’ (ugh) which have themselves continued on that activity. The same is true for every particular Orthodox church, with the possible exception of the Armenians (for historical reasons, i.e., the genocides).
Perhaps “barely scratched the surface” could also be applied to the level of research undertaken before making claims about how Orthodoxy has not left any imprint on the world…
Obviously the table could be turned here 
