I've only been to one Western Rite Orthodox church. They did not have their own church structure, so the interior was not ideal. I remember that they had a Christ icon and I think a Theotokos icon near the altar. In the back of the church, they had a place to light beeswax candles (just like an Eastern church). The Liturgy offered was the Liturgy of St. Gregory, basically the Tridentine Latin Mass in English and with some alterations. They used unleavened bread and distributed the Eucharist by intinction (dipping the Bread in the Wine). The vestments used by priest and servers were Latin, similiar if not the same as the traditional vestments of the Latin Church. I did not see any statues, and the people made the sign of the cross Greek-style.