The last time we moved we decided to give our TV/VCR/DVD stuff away and its been one of the best decisions we've ever made. Now we watch one show per night on the internet and listen to tons of music online too.
Hulu is a great place to start for free internet TV and movies. There's tons of resources for free internet radio as well. One of our favorites is Radio Screamer. Sorry Mac folks, this one is Windows-only as far as I can tell.
Once you've downloaded and installed the free program (if you are comfortable with that sort of thing), you'll have this quick and easy interface to connect to hundreds of internet radio channels:
It includes information about the current artist and song, a direct link to the channels' website, a number of menu options, playback stuff and even a Record button (better check with your legal counsel before using that one!).
Here's an example of how to find stations by genre - soooo many options:
We listen to Folk Alley and Roots Radio a lot during the morning and afternoon and then often switch to 1.FM Blues at night. Almost no commercials and very seldom are there repeat songs! A winner, we think.