The British Library Endangered Archives Programme “[aims] to contribute to the preservation of archival material that is in danger of destruction, neglect or physical deterioration world-wide.”
A quick search of the word “audio” brings up these collections which will no doubt be of interest to world music scholars. Not all of these projects have been completed, so not all content is yet available online.
EAP736: Preservation of the music and dance archive at the Music Museum of Nepal (NFMIM)
EAP008: Folk Theatre Tales: Preserving images, sounds and voices of rural Tuscany
EAP088: The Golha radio programmes (Flowers of Persian Song and Poetry)
EAP115: Collection and digitisation of old music in pre-literate Micronesian society
EAP124: Pages of Azerbaijan sound heritage
EAP190: Digitising archival material pertaining to ‘Young India’ label gramophone records
EAP298: Preserving endangered ethnographic audiovisual materials of expressive culture in Peru
EAP468: To preserve Indian recordings on ‘Odeon’ label shellac discs
EAP592: The music of Burma on record
The EAP also offers grants to researchers http://eap.bl.uk/pages/grants.html