Whenever I travel out of the local radio/TV market one of the first things I do is check out the local radio and TV stations. I like to get a feel for where I am: what music they prefer, what kind of food places advertise, etc.
I also have a habit when I have the time of going on youtube and searching for music from other parts of the world. Russian folk music, Arab chants, Akai throat singing.....
This new site-- Radio Garden --takes the work out of traveling to hear radio from around the world. The site has only been live since last Monday, but it currently has 8,000+ stations with more being added.
Today I have visited China, Russia, Australia (where I can understand the language) and several others. I have a Canadian station on now.
One interesting hint: I pays to know geography. The developers of the site realized that radio doesn't see borders so there are no country labels on the globe. Makes it more interesting in a way. Enjoy!