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A search engine can be much better than google. All shopping websites of any significance have better features. (Is google treating links as competing technology?)

Denying the search provider a page view might work. Have them return xml. Use the OS, browser or custom theme. Build a search extension platform on top of it, sit back and watch what people come up with. (I would filter out websites that need more than x requests besides images and video, have more than y kb js, z kb css, make big news websites into a check box in the side menu, I can think of 30 extensions right now)

I made a search bar for Opera one time (widget) that had a row of submit buttons (icons) with different targets. It sat on top so one could just click the next button. It is hard to explain but it can be quite surprising to re-send your query some place else.

MyIE use to be able to open X search results in background tabs. A mouse gesture would close one and move to the next.