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Read St. Peter\'s vision in the Book of Acts for the biblical source: there aren\'t any such restrictions by conventional standards.
If you also adhere to the ideals of vegetarian/vegan groups like PETA, you might be able to make a personal case against eating anything that you feel promotes animal cruelty. If you are deeply concerned about social justice, you might feel ethically/religiously bound, say, to purchase only free-trade coffee. Neither of these examples reflects any formal practice of the Orthodox Church and involves only a personal decision on the part of an individual.
I would imagine that cannibalism is probably prohibited.