Earlier quoted context omitted.
Dropbox - https://www.dropbox.com/ In Firefox 20.0.1, with Javascript disabled, after the login the home listing has a "The Dropbox website require JavaScript" text. [EDIT: Clickable, more info]
Well, Dropbox is an interesting example. If you have no JS, you probably can't download much either.
The magic is in the server, which must set the MIME type to application\octet-stream or something similar, so the browser doesnt try to render certain browser-rendable files (.htmls, .pdfs, ...)
http://stackoverflow.com/questions/3749231/download-file-usi...