Earlier quoted context omitted.
FWIW, Grooveshark has a feature called Broadcast that, while not the same thing as Turntable, has the human curated music selection part of the experience. We're also about to release functionality that lets you view past broadcasts, hopefully addressing your main complaint. :) http://grooveshark.com/#!/broadcasts Full disclosure: I work there!
Yeah, Grooveshark broadcasts are neat, I just wish they worked on the HTML5/mobile version of the site...
Oh, they do! We added that functionality a few weeks ago. It's listening only for now, and until a week ago didn't work on older Android (2.3ish), but it's there. :)