Moving web content?

Has anyone else noticed that web pages don’t hold still anymore? Even with a fairly fast connection, I watch a page load and see the link or button that I want to click and as I click on it, it moves, so I click on something else. Sometimes this is harmless, always it is frustrating, and occasionally it is dangerous. My understanding was that the new version of HTML (now more than 2 years old) would correct this issue; but, my experience is that it is getting worse. I know that part of the blame rests with the browsers and the desire by the authors of the browsers to make it feel like it is loading pages faster; but, allowing the pages to revise as they load to fit on the screen is at the heart of this issue. I am quite willing to allow a few seconds (a very few) for the browser to load enough of the page material so the page loads material in its final position instead of wasting all that video effort on moving things around after the page presentation has started.