A new source of music and audio recordings which can be used for educational purposes is the British Library Archival Sound Recordings.
The Archival Sound Recordings service is the result of a two-year development project to increase access to the Sound Archive’s extensive collections. When complete, it will make 3,900 hours of digitised audio freely available to the Higher and Further Education communities of the UK.
Part of the JISC Digitisation programme there is a lot of audio and music..
Note you need to be licensed to hear and download the clips, but it is free to FE colleges (and HE Institutions) to get licensed.