This leading directory of online radios is now a gateway to thousands of feeds worldwide, the vast majority of which are freely accessible. Whether you are looking from a radio from your hometown or your home country, this is the best place to start.
Radio Garden is an emulation of Google Earth for radio. Click and drag a 3D globe around before zooming in on local stations around the world. This fun and quite extensive service will have you hopping about around the world in music.
This service is particularly useful to locate the websites of specific radio stations broadcasting over the air (many now also offer a webcast). The database is searchable by location and a specific search for streaming radios by genre is available.