I love the random list topics this site generates... Though I'm not really sure what constitutes obscure...

• Gabriel Kahane (LOVE LOVE LOVE LOVE LOVE)
• Next to Normal!!! (not really obscure, but...)
• Bollywood music
• Babasonicos (Spanish techno ftw)
• Dark Chords on a Big Guitar, Joan Baez's newest album
• French alternative (Coeur de pirate, Coralie Clement, etc.)
• Spanish alternative (Denver, Manu Chao, Pilar Diaz, etc.)
• Quetzal
• CHEESY Spanish music ("No Seas Cobarde," Julieta Venegas, "Corazon Salvaje", etc.)
• Bright Star soundtrack <3
• Brother Bear soundtrack
• Catherine Feeny
• Traditional acapella (a la British evensong)
• The Coral
• The Finches
• "Barcelona" from the Vicki Cristina Barcelona credits
• Joanna Newsom
• Josh Clayton-Felt
• Tunde Jegede
• Justin Roberts
• The Low Anthem
• The Real Tuesday Weld
• Dizzee Rascal (Rap about female empowerment and British-isms. How does this exist?)
• Martina Topley-Bird
• "Nice Weather for Ducks" by Lemon Jelly