I'm learning everything I can about statistics and would love to have a "surprise me" button that would jump to a random question. (And of course, an easily-reachable "surprise me" button on that page, so I can keep jumping until something catches my eye.) I believe Wikipedia and Google have similar buttons.
The Stack Exchange network has a sister site, Stack Apps for standalone applications that provide an alternative interface or functionality for the site, or browser userscripts that enhance the actual sites themselves.
I would suggest searching there to see if something like exists, and if not, you could post a question asking. Perhaps someone would be willing to whip up a userscript you could add to your browser.
Most modern browsers support userscripts - you can see details on the script tag wiki page for browser support and installation instruction.
For start, you may browse by tags; topic organisation is pretty good way of getting rid of time bias.