I agree that Orthodox music is, at least in the Russian tradition, astonishingly beautiful and often quite instructive.

One piece I find very moving comes from the panihida (memorial?) service. Here is a YouTube link to the version used in the Finnish Orthodox Church that I find quite moving:

The English version runs: “With the Saints give rest O Christ, to the souls of thy servants, where sickness and sorrow are no more, neither sighing, but life everlasting.”