musicovery.com The interface on this web-radio site is kinda strange, but I like it.
→[More:] Pick a spot on the gray rectangle that's marked "calm-energetic" on one axis, "positive-negative" on the other. You'll start hearing a song that's in the middle of a "thread" of songs, which will then play in order. You can narrow the songs down by decade or genre, but I find it's more fun to leave it wide open so you get a little of everything. Also, you can skip around to different songs at will.
I'm listening to a "thread" that went from Syd Barrett to Moby to somebody called "Usual Suspects," which I'm enjoying a lot.