There is a consensus among the Russian, Greek, Serbian, Romanian and Antiochian Churches (I cannot speak for the other Churches since I have never had the opportunity to become acquainted with their teaching on this matter.)
Are there any online documents about the stances of Greek, Serbian, Romanian and Antiochian Churches, Father? Not that I'd doubt your word but I'd still like to be able to point out more specific source than a random message in a random forum if asked.
The Orthodox Churches don't tend to put out statements such as the Vatican does -papal encyclicals, bulls, curial statements, etc. But in the year 2000 the Russian Orthodox Church felt the need to proclaim some basic Christian principles for the guidance of the Russian people after the country's depressing 70 years of repression by the atheistic powers. A Millennial Synod which gathered all of Russia' bishops was held in Moscow and it promulgated a major statement on the Church and modern society "Bases of the Social Concept of the Russian Orthodox Church
The Russian Orthodox Church allows non-abortive
contraception and speaks of it in the Millennial Statement from the Synod of Bishops. BASES OF THE SOCIAL CONCEPT OF THE RUSSIAN ORTHODOX CHURCH
XII. 3. Among the problems which need a religious and moral assessment is that of contraception. Some contraceptives have an abortive effect, interrupting artificially the life of the embryo on the very first stages of his life. Therefore, the same judgements are applicable to the use of them as to abortion. But other means, which do not involve interrupting an already conceived life, cannot be equated with abortion in the least. In defining their attitude to the non-abortive contraceptives, Christian spouses should remember that human reproduction is one of the principal purposes of the divinely established marital union (see, X. 4). The deliberate refusal of childbirth on egoistic grounds devalues marriage and is a definite sin.
Section XII.3 of the 2000 Synodal document
"BASES OF THE SOCIAL CONCEPT
OF THE RUSSIAN ORTHODOX CHURCH"http://www.mospat.ru/en/documents/social-concepts/xii/