Syriac Jacobite Church, Malankara Syriac Orthodox Church in India both allows their priests to get married even after ordination. Both follow Eastern Liturgy and has roots in the East. However, there is a catch; married ones are often not allowed to becomes Bishops or head the Church. Often their service is limited to Parish ministry and managing other day to day activities.

wedding Photo of an acquaintance of mine, who belongs to Syrian Jacobite Church in India. They pledge allegiance to Patriarch of Antioch Ignatius II

Again, this too have exceptions: For instance, Believers Eastern Church , which claims episcopal origin and Orthodox roots (though I personally consider them as a protestant imitation of Eastern liturgy), have a head Metropolitan who is married Metropolitan of BEC

Until 1200s, Catholic clergy was allowed to marry. This changed after the Augustinian philosophy that saw Sex as an inevitable sin.

Eastern Churches, however, preserved their tradition and still allows priests and nuns to get married, either each other or to lay people.

I think celibacy must be a choice for people who wish to take that as a vow, not a criteria in becoming a priest/nun and serving God