Sure they can. Young people have always taken an interest in their parent's music, though it may not very common. I'm 29, and I grew up listening to true oldies (mainly 1960's hits) all of the time.
My favorite decade of music is the 1980's. Fortunately, 1980's music is still extremely popular and is well represented on a highly rated FM station in my market (95.7 The Jet in Seattle or 103.7 when i'm in San Francisco). I absolutely like to dive back into 60's and 70's rock on my local classic rock radio station (KISM 92.9) too. Music by The Doors, The Beatles, Hendrix, Cream, and others don't go out of style.
Admittedly, I don't find myself listening to true oldies that often anymore. There's no longer a radio station located in my market that focuses on that type of music anymore. If it was still easily accessible, I'd still listen. But it's niche programming at this point, and most remaining "oldies" radio stations are airing songs primarily from the 1970's.
My favorite decade of music is the 1980's. Fortunately, 1980's music is still extremely popular and is well represented on a highly rated FM station in my market (95.7 The Jet in Seattle or 103.7 when i'm in San Francisco). I absolutely like to dive back into 60's and 70's rock on my local classic rock radio station (KISM 92.9) too. Music by The Doors, The Beatles, Hendrix, Cream, and others don't go out of style.
Admittedly, I don't find myself listening to true oldies that often anymore. There's no longer a radio station located in my market that focuses on that type of music anymore. If it was still easily accessible, I'd still listen. But it's niche programming at this point, and most remaining "oldies" radio stations are airing songs primarily from the 1970's.

