If you like folk music with a real international flavor, you may want to check out Enoch Train (their new website isn't so hot, but their music is great). This group focuses on arrangements of LDS hymn tunes, but not like you've heard them before. From harmonica to Native American drums to Vietnamese dan tranh to accordion to mandolin -- well, you get the picture: it's not something you're likely to hear in sacrament meeting.
Often, two or more hymn tunes are blended together, along with other tunes, as in the track Mary Had a Shepherd, which melds “Mary Had a Little Lamb” with “Dear to the Heart of the Shepherd” and snatches of “He Shall Feed His Flock.” Styles range from New Orleans jazz to samba and a gorgeous four-recorder arrangement of “O Savior Thou Who Wearest a Crown.” Several original compositions, not based on hymn tunes, are also included.
Enoch Train has won numerous Pearl awards (LDS music awards) and there isn't another group like them that I'm aware of. Give them a listen -- it may change the way you think of our hymns.
Disclosure: Daron Bradford, who plays all of the woodwinds (yes, all of them) for Enoch Train, is my uncle. But I'm not biased, really I'm not!