It appears that what you wish for is already a feature on iOS, Android, and Windows:

http://www.makeuseof.com/tag/identify-song-cortana-windows-1...

Side note: WinPhones had music recognition integrated since 2014 at least, but nobody seemed to notice or care.

Sony Ericsson feature phones apparently had the feature since 2006(!) http://www.businesswire.com/news/home/20060523005400/en/Grac...

And it worked surprisingly well.

The Shazam app gives you a place to go back to if you want to see which songs you've recently discovered. It also works offline - it will look up songs when you open the app later. Not to mention that some people don't enjoy talking to their phones.

I hope they keep the app around...

That's it. In face, I've not used Shazam often because it's really bothering to open Shazam when I curious about the song I listen. But if it's in Siri, the game is totally different.

If you install the Shazam app, it is integrated into Siri. It just displays that the result come from Shazam.

What about in quiet/work scenarios? I hate speaking out loud when I want to do things with my phone. This is why I never ever use Siri.

Isn't there already music playing? You're not in a quiet scenario anymore.

If there's any possibility of somebody (e.g. a barista) overhearing me asking my phone to identify a song, I won't do it. Perhaps I'm excessively bashful, but I would find it embarrassing.

they will probably hardwire it to iTunes which i loathe