Tested and working on Windows Vista: IE 7; Windows 7: IE 11, Firefox 41, Chrome 48; Android Lollipop: Chrome 43, Firefox 38; Ubuntu: Firefox 41, Chrome 45.
I've tested Safari and others under OS X (Apple) with online emulators, but not sure how accurate they are.
IE 7 - 9 now show a simplified menu, top of page.
On other browsers, first time visitors to the site with mouse-controlled devices should get the Desktop Menu (flags) by default or, with touch-operated devices, the Mini Menu (mobile). In either case, the alternative menu can be chosen, if preferred, by clicking the appropriate icon, and it will persist (thanks to a cookie) unless another choice is made.
If the site is viewed on smaller devices (less than 400 CSS pixels), only the Mini Menu will be available.
Remains a work in progress. Don't hesitate if there are still issues, suggestions...