The first problem relating to modernism is the alarming abuse of the concept of "economy" by local Priests, and sometimes even Bishops. This can be seen in a number of areas, two of which I'll identify. The first example is the moral lapse regarding the use of contraception, which was clearly condemned by everyone before the 20th century. (Amazingly, some Priests and Bishops don't even pretend to allow it's use through economy anymore, but simply say that whoever wants to use it may use it, and that the Church has never considered such things it's business.) The second abuse of economy that is becoming all too common in certain jurisdictions is the allowance of Orthodox Christians to attend heterodox services, and even receive communion at them.
The second problem relating to modernism, or perhaps just relating to the western culture in general, is the minimalism of faith and widespread loss of asceticism. It is not clear which had more of an effect, some jurisdiction's conscious attempts to "modernise," or simply the influence of Western Society as a whole. Whatever the cause, fasting has been relaxed and even sometimes dropped, preaching of the blessedness of poverty and giving alms is rarely heard, preaching of virginity and monasticism as a higher path is almost non-existent, vigils are almost non-existent, etc. Standing a long time has simply been done away with by bringing in pews, and even with the pews there is still sufficient enough reasons, apparently, to cut the length of the services. Depriving ourselves of the creature comforts, once the stated goal for every Christian (even if it didn't happen in practice), has become non-existent, and isn't even stated as a goal anymore; now it's just "for the monks".
The third problem relating to modernism and western society is the loss of the Patristic mindset, and adoption of the humanistic, modernist mindset. For example, some groups are ridiculed and mocked for "focusing on the externals"; while unfortunately all too many groups cast off these "externals," but by doing so unwittingly throw away many grace-bestowing traditions that they so desperately now need. They think they have thrown out "man made" traditions, but what they have really done is cut out God-man delivered traditions (this is usually done by making a distinction between "tradition with a small t" and "Tradition with a big T"). They have unwittingly thrown the baby out with the bath water, when all they thought they were doing was throwing out dirty bath water. What is left is a humanistic, intellectualized system of belief. Orthodoxy has become complacent regarding social issues such as abortion, evil television shows, and so forth. Not only do they not speak in the same spirit as the Fathers, but they find the words of the Fathers "offensive" and "extremist," or perhaps just "outdated" and "of a less sophisticated and informed time". These Orthodox no longer hold to traditions of apostolic origin, as these are ignorantly labled "little t traditions". At a time when Orthodoxy should be taking a maximalist approach and embracing everything we can take from the Fathers, we are instead attempting to "update" and "modernise," to "adapt to the culture" (as opposed to transcending it).
Paradosis, not to put you on the spot, but do you have specific examples of Bishops and priests of doing these things? I am trying examples of these. Anyway, I am suprised that female ordination is even being considered. Many protestants have come to Orthodoxy for many reasons including the ordination of women. Clearly, the WCC is influencing Orthodoxy. Here is my question: why is it that our Bishops and Patriarchs have such an inferiority complex when it comes to Orthodoxy? Why are they afraid to be Orthodox? The disease of our time is to say that 'I'm okay your okay.' Nobody wants to be intolerant, and everyone wants to get along with everyone else at the cost of the Truth. Getting along is more important than the straight and narrow path. I think what has hurt the US is the lack of Orthodox monasticism here in this country.
I think if anything it depends on the individual church as to how modern it is. By this, I currently attend an OCA church, yet we do not have pews, the priest makes converts recant their heresies at Chrismation, etc. I would say that this church is more traditional. I have been to a couple of other churches, Greek churches, that are modern in their style. However, I have heard from people that there are traditional Greek churches out there.