It would be awesome to have all of the above rolled up into a widget that would allow one to post the visual data for several months and/or years visually on a sidebar, footer, or other widgetizeable area. This also provides site readers the ability to quickly jump to a particular date and/or set of posts much like the Archives widget allows, but with a more visual interface.

This is definitely something that would be nice, and that would be a nice improvement to our existing Blog Stats widget. I tracked this suggestion here:
https://github.com/Automattic/jetpack/issues/12097