Yes, to a certain extent, I do still listen to the radio, and I do discover music through it - though rarely music which might be described as mainstream.
In general, it depends on where I am and what I am doing.
Re music, when I am at home - between periods abroad - I listen to the classical music radio channel. This channel (one of the radio stations on the State broadcasting system's network) plays more than classical music. It plays jazz, trad, world, and unusual material not played anywhere else. In addition, its presenters tend to be extremely knowledgeable about music, especially some of those who front the late night shows.
Indeed, I have come across a lot of music I would never otherwise have heard of, by groups and individuals such as Pink Martini, Pat Metheny, Philip Glass, Ludovico Einaudi to mention but a few.
In general, on such radio specialist stations, I find that I will make a point of listening to particular programmes and individual presenters.
My other main interest is current affairs, and this is an area where radio (to my mind) can (as long as the presenters are intelligent and informed, as they often are on the better radio stations) outshine TV. I'll always keep an ear out for the local and national news on radio. For international news, I'll often go elsewhere, TV or online, or intelligent newspapers and periodicals.