I would very much like an expandable section below the search text where I could turn very specific portions of the google magic on and off.
I also wish you would remove the multitude of sites that scrape content from the original sites and SEO the hell out of it to get to the top of search results. I assume the advertising revenue is too lucrative to do so.
I haven't had too many issues with Google guessing what I mean but the sites that scrape other sites are a real pain. find the oldest page with that text and show it to me, then exclude the rest from the results. Or something like that. If it has the exact same information then it's useless to me.
We're working on the scraped sites. Also, advertising revenue has nothing to do with it. We don't even talk about revenue in our search quality meetings, just the utility and speed of our search results page.
Personally I would be a fan of giving users more "knobs" to turn in their search results. For example, we have the toggle switch to include personal results and personalized ranking, vs. showing un-personalized search results. However, it's a complicated product design problem whenever you want to add complexity to something used by a billion people.
Remember that the thing that made Google so popular and iconic originally was the plain search box.
I also wish you would remove the multitude of sites that scrape content from the original sites and SEO the hell out of it to get to the top of search results. I assume the advertising revenue is too lucrative to do so.