This ship has sailed, because pushing the Web Platform (which every year exposes more and more of this platform functionality in JS) is a vested interest of Google and Mozilla, for different but related-enough reasons to where they rapidly achieve parity.

You're going to have to dig up a browser whose authors don't subscribe to this vision, or browsers that may intend to do this down the road but haven't caught up yet. For the time being, out of graphical browsers, Dillo and Netsurf are in this category.