RouteA2A.com can generate a random circular route from your location that will bring you back to the same location. This could be used to generate hiking or jogging routes from your home or to generate a random driving route.
Features of the application include the option to define the approximate route length and whether you want walking or driving directions. After you generate a random route you can get the GPX of the route and grab a unique URL.
Detailed instructions for using this Google Map random route generator are available here.