I've always liked all kinds of music. I often listen to rock as I'm driving around, but most of the time when I'm listening at home or in my car, I have classical music on.
Thanks to the Internet, we live in a golden age for classical music listeners. A great deal of fine music is available free online. Some examples:
The Open Goldberg Variations by Kimiko Ishizaka is a free download of Bach's classic keyboard piece. Tyler Cowen says, "superb listening, first-rate performance."
Similarly, free (and legal) recordings of Bach's organ music are available here, recorded by James Kibbie, professor of organ at the University of Michigan.
The Isabella Stewart Gardner Museum in Boston often features concerts of classical chamber music, as many museums do. What makes the Gardner special is that the music is then released as free downloads on the museum's Web site. Go here for music by just about every composer you might think of.
Thanks to Internet radio, everyone can listen to classical music radio stations at home, 24 hours a day. Cleveland's WCLV broadcasts on the Internet. I am also a big fan of WQXR, which has an excellent classical music station and also a wonderful Q2 channel devoted to modern classical music.