Kind of an odd question, because if I wanted to hear something that didn't get played on the radio, I'd just put it on my mixed cd, no?
So I'll answer this question a different way: This is a song I wish I could've heard on the radio at the time that it was released. And I'm totally going to confess that I cribbed this answer from Jimmy. I thought it was such a brilliant answer that I couldn't think of a better choice.
The Beatles - Strawberry Fields Forever
(Linked because embedding was disabled)
So I'll answer this question a different way: This is a song I wish I could've heard on the radio at the time that it was released. And I'm totally going to confess that I cribbed this answer from Jimmy. I thought it was such a brilliant answer that I couldn't think of a better choice.
The Beatles - Strawberry Fields Forever
(Linked because embedding was disabled)