> Even extremely common patterns that will be present in virtually every web app have no examples that I can find anywhere on the web. A great example is simple nested resources, where the URL is something like `/tv_shows/555/seasons/3/episodes/2`.

http://emberjs.com/guides/routing/defining-your-routes/#toc_... ?

See also http://hashrocket.com/blog/posts/ember-routing-the-when-and-... and http://ember101.com/videos/007-nested-routes/

These are the first three results for "Ember nested routes" on Google. They're all pretty simple and straightforward. Hope that helps!