I like the design of the new BBC and Guardian websites, but I agree that if they're aiming for mobile first, they still have a way to go.

In particular, 'the flash' you mentioned on The Guardian means that often, instead of iOS 8 Safari scrolling when I try to scroll, it activates a link - or worse, an ad! It's infuriating, and it's significantly less usable than their old site in that regard.

For a truly bad mobile site, though, try going to Cricinfo: http://www.espncricinfo.com/ Go to an article, then go back. Notice that:

1) Your horizontal scroll position in the article list is lost.

2) The page renders, then re-renders exactly the same (for me at least), with a jump to the top of the page in between.