What you mean by "big Hollywood" the mainstream population refers to as "TV" and "Movies". None of which we're able to watch without a plugin. I do all my TV watching online (95% on Netflix/Hulu), even most of the videos I watch on YouTube require flash, despite being opt-in to using the HTML5 video player.
Your statement was "closer". Even if the video watchable without plugins is only 1% of the total, your statement is still wrong if it was e.g. 0.1% a few years ago.
Regarding YouTube, I do most of my YouTubing on iOS devices, and it's very rare to find a video that doesn't work, so the non-plugin support is good. Why it doesn't work in your browser, I couldn't say, but at this point I suspect it's more about your setup than YouTube not supporting it at all.
