Extensions should be able to have their permissions limited by domain (e.g. to customize YouTube or Reddit) at a minimum.
And I'd also really like a way to track both injected scripts and elements so that they wouldn't be able to make any HTTP requests without additional permissions, not even an <img src="..."> tag if the src isn't just a data URL or local extension resource.
E.g. I want to be able to install an extension that stops YouTube videos from playing as soon as I navigate to the page, without worrying my entire browsing history or worse is being sent to a third-party.