Clips from Dormition at the Orthodox Church in Nova Sedlica (Slovakia)
The hymn being sung is "Spivajme veselo," a Rusyn hymn for the Nativity of the Mother of God. Warning: Large File--Right Click and "Save As"

Prea Sfinta Maica si Fecioara (Romania)
YouTube video of a hymn to the Mother of God. The singer, Radu Boscu, has an entire recording of Marian hymns with the same title.

Cruce Sfinta Parasita (Romania)
YouTube video of a hymn to the Holy Cross.

Prostopinije Conference Sampler (Ukraine)
In Part V, Metropolitan Nicholas (Smisko) leads the singing of "Christijane proslavljajme."

Carpathian Christmas Hymns Sampler (Ukraine)
Carols sung by seminarians of Bl. Theodore Seminary in Uzhorod.

From the Orthodox Church in Gerlachov (Slovakia)

From the Orthodox Church in Hostovice (Slovakia)
The hymn is "Prizri, O Marije."

From the Orthodox Church in Nižný Mirošov (Slovakia)
The hymn is "Stradalna Mati."

From the Orthodox Church in Brusnica (Slovakia)
The hymn is "Otvorte Serdca," a hymn for Communion time.

Noaptea e stapana-n vale (Romania)
Sung by Fr. Cristian Pomohaci.

Doamne esti a mea iubire (Romania)
Sung by Fr. Cristian Pomohaci.

Stradal'naja Mati (Slovakia)
MP3 of the Lenten hymn "The Sorrowful Mother" sung by the choir of the Orthodox Cathedral in Presov.

Sohlasno Zaspivajme (Slovakia)
MP3 of a Paschal hymn sung by the choir of the Orthodox Cathedral in Presov.

Pod Tvoj Pokrov (Slovakia)
MP3 of the a Hymn to the Virgin Mary sung by the women's choir of the Orthodox Church in Jarabina.

Likuj Presvjataja (Slovakia)
MP3 of the a Hymn to the Virgin Mary sung by the women's choir of the Orthodox Church in Jarabina.

Pricesne - Nuns of the Orlat Monastery (Romania)
Pricesne - Cornelia Gotia (Romania)
Priscene - Fr. Cristian Pomohaci (Romania)
Colinde & Pricesne - Valeria Peter Predescu (Romania)
Colinde (Romania)
Various hymns by Romanian Orthodox singers. The term "pricesne" originates in the Slavonic "prichasten" or "communion hymn." Such paraliturgical hymns were frequently sung during the communion of the clergy, and thus the name came to refer to all paraliturgical hymns.

Pricesne (Romania)
Mostly text, some audio, of several Romanian hymns from the website of the Orthodox Church in Mosuni. (Some may actually be closer to "camp songs" than paraliturgical hymns--if you hear a guitar, it's probably a camp song!)

Vitay Mizh Nami (Canada)
MP3 of a Eucharistic Hymn in Ukrainian, from St. Elias Church in Brampton.

Stradalna Maty (Canada)
MP3 of a Lenten/Good Friday Hymn in Ukrainian, from St. Elias Church in Brampton.

Christmas Carols (Canada)
Carols in Ukrainian, from St. Elias Church in Brampton.

Muzica Sacra-Pricesne (Romania)
Sung by Fr. Ioan Pop.

Trilulilu.ro (Romania)
Video and audio sharing site in Romania. I've searched for such things as "pricesne," "priceasna," "muzica religioasa," and "ortodox" and came up with many results, some of which I've posted below.

Hristos a Inviat! (Romania)
Paschal hymn by D. Kiriac.

Paschal Hymns:
Din mormantu-ntunecat (Romania)
Eu sunt Invierea (Romania)
E Ziua Sfanta (Romania)
E praznic, Iisuse (to a melody by Tchaikovsky) (Romania)

Drevo: Christian Themes in Ukrainian Folk Songs (Ukraine)
Drevo: Christian Themes in Ukrainian Folk Songs
Track #3 is a variant of "Stradalna Mati."

Sheet Music in Ukrainian:
V Vyfleyemi Dnes Mariya
Strazhdalna Maty
Choloviche Dobryy
O hto hto

Cînt?ri duhovnice?ti (Moldova)
Links from an Orthodox Forum in Moldova.

Viata Crestina (Romania)
Includes hymns and carols in Romanian.

Pricesne (Romania)
A selection of Marian and other hymns, including one relating to pilgrimage to the Nicula Monastery.

Cantece Crestine (Romania)
"Christian songs."