I'm sure the Tavener lyrics also have a tie to the dismissal prayer used in Roman Catholic funerals. It's set nicely to Gregorian chant, and the text is probably medieval in origin:

May the angels lead you into paradise; May the martyrs come to welcome you on your way, and lead you into the holy city, Jerusalem.
May the choir of angels welcome you, and with Lazarus, who once was poor, may you have everlasting rest.

In paradisum deducant te angeli; in tuo adventu suscipiant te martyres, et perducant te in civitatem sanctam Jerusalem. Chorus angelorum te suscipiat, et cum Lazaro quondam paupere aeternam habeas requiem.

Since the prayer is pre-Reformation in origin, it's likely that it is shared by Anglicans and Roman Catholics.

Sebastian Temple's rendition of the Prayer of St. Francis, "Make Me A Channel of Your Peace," is also shared by Anglicans and Romans. I think it was originally copyrighted in 1967 by Franciscan Communications - which made me assume Temple is/was a Franciscan. The song has to be one of the Top Ten Folk Mass Hits of All Time. Heck, it even made it into "Rise Up Singing." (you RUS haters, please forgive me for adding that)
-Joe Offer-