Rdio is an app written in Titanium, I really like it. However, you notice its not fully in new-style nadroid without the native DrawerLayout. HTML5 is really not good enough for killer mobile apps.
They're using Xamarin, according to their showcase site. This video mentions before that, they had four different codebases for four different platforms: http://www.youtube.com/watch?v=oETiK-v7rkE so I'm guessing that means native development.
I would not call the DrawerLayout a sine qua non of good Android UI. A couple of years ago Google's official advice for a "navigation hub" in an app was to make a dashboard Activity. It quickly became obvious that a dashboard Activity is a nowhere-land where the only thing you can do is to go someplace else where you can do something.
The drawer UI pattern is basically a dashboard in a more textual style, which is hardly an improvement for immediate recognition of what's what, and it functions pretty much the same way. I predict the drawer will last only a little longer than the dashboard as a UI fad in Android. It is also widely abused as a mix of navigation and action. Ugh.
