It is paradoxical, perhaps, that in trying to bring the faith to other Westerners, Orthodox are often perceived as being "anti-Western" due to theological disagreements with Western Christianity. How to bring fellow Western people into churches that seem predisposed to dislike or at least disagree with things that these same people have grown up thinking of as the essence of Christianity in toto...
To that end, I would think that before food fairs and TV commercials, EO might think about increasing the visibility, number, and support of their "Western Rite" churches. I know there is some tension surrounding these churches and some criticisms of them (I have read essays from the likes of Fr. Alexander Schmemann on this matter, and I get the impression he is not to be dismissed in EO circles), though that is all the more reason to put work into them, right? You guys aren't lazy. You might not think it, but you have the numbers (both converts and cradles) to do amazing things in the West on a large scale, even if it seems that the will often isn't there.
Speaking of writing and writers, do any Western Rite churches or supporters of WRO publish their own materials on them? I ask because I know that within my own communion, the British Orthodox Church within the Coptic Orthodox Patriarchate in Europe has done some very good work with their Glastonbury Review magazine, which publishes articles on their current activities as well as historical connections between the Isles and the wider OO. You can also find a number of videos of everyday Britons being baptized, tonsured, etc. in their church on Youtube and elsewhere, which I would imagine helps increase the feeling for other British people that this is a church by them, for them (which is, after all, the entire reason that it exists in the first place). The French Coptic Orthodox Church has a similar pedigree, though I have seen much less from them (probably because I don't know French, so I don't know how to search for it online). I have seen videos online featuring most/all hours of the Coptic Agpeya (Horologion) chanted in not-Arabic-accented French; I'm assuming that's them.
I don't think it's by any means a hopeless case, but all this stuff about the impression being that Greekness is more important than Orthodoxy isn't exactly going to be fixed by having Greek (Serbian, Russian, whatever) food fairs and folk dancing and whatnot. Granted, I still showed up to the local OCA's Glendi food festival every year when I lived in California (there aren't OO churches there, so where else was I supposed to go be a nerd), and they had wonderful talks on EO music, iconography, and church architecture, too, which managed to include more than just Russian or other Slavic chant (if I remember correctly there are a number of Ethiopians and Eritreans in that particular parish, and the talk on "EO" music included a little demonstration of some chant that they brought them).