This can be pared down even further:
* Adjust search results based on your own clickthrough rates. If you bounce out of a site a few times (hello, quora) then it grays out or falls off. Sites you go to and stay on become more prominent.
* Kill downloads. I know this won't be popular, but the ability to download a thing isn't necessary for everyday use. There would be a heightened awareness for the user if they had to switch browsers to download something.
* No cross-site loading of any kind; all source material MUST come from the domain you are on. This would seriously break some sites but it would close large gaps in security and tracking.
A browser just for browsing!