Mostly when I'm listening to a lot of classical music. For example, the buildup in this from the beginning to the part at around 8:30 and after really put a system shock in me for quite a while.

http://youtu.be/5vyCc_jFidw

There are many more examples, but that one is the one that really stood out to me. Perhaps another, less frightening one:

http://youtu.be/HkoeH5BtLyQ?t=1h9m4s

That brass really put me to wonders. I don't know if it'll do the same out of context of the entire symphony, but I wouldn't want you to listen the entire thing for that one small part. But I would highly recommend the symphony anyway, since it's pretty good and full of moments like that.

EDIT: Apparently from what Kafke says, music doesn't count as ASMR. That's frission. Fair enough. In any case, another experience with ASMR would perhaps be sound an oldish TV makes. I used to use a TV as an alarm when I went to school, so everytime I would be woken up with that distinctive powering up sound of the television. A few years later I stopped using it, but when I heard a similar TV sound, I had that woozy feeling in my head that felt really nice.