A great BBC Radio 4 programme that's been running for a while is called "Soul Music". It takes a piece of music and spends half an hour gently exploring it - maybe the feelings people get from it, the technical aspects of it, the social impact etc.
Sounds like it could be dull or sappy but it's usually a revelation. For example, in the "Brothers in Arms" episode they spoke to an Irish Republican, members of Dire Straits, an Army Chaplain, TV's "West Wing" musical director...and more.
Here's the link for that episode: http://www.bbc.co.uk/programmes/b01mqp1r
And the link to all episodes available:http://www.bbc.co.uk/programmes/b008mj7p/episodes/guide#b01bf67t
If you can access BBC 4's radio player, they are really worth a listen.