Some favorite streams:

Catholic radio:
(in French): Radio Esperance

Classical:
US: WCRB:
Switzerland: Radio Swiss Classic
Netherlands: NPO Radio 4
Austria: Radio Klassik Stephansdom

A cappella pop:
WERS Boston on Saturday and Sunday afternoons

Jazz:
Switzerland: Radio Swiss Jazz

Germany:
pop music on Bayern 3

News/info:

Austria: ÖRF stations
France: Radio France International: English podcasts, live audio feed in French
Germany: Deutsche Welle
Italy: RAI radio streams
Portugal: RTP streams
Spain: Radio Exterior de España
UK:  BBC World Service , Radio 4
Vatican City: Radio Vaticana    (Archive)