I am finishing last few bits of the next gen Slax release. I think the biggest difference for the end user will be lack of applications. People were probably used to a rich collection of apps in Slax, including GUI file manager, video player, instant messaging program, card games, remote desktop app, more card games, ... :-) None of this will be included in the next Slax release. I may prepare, in the future, a bigger and more feature rich version, but for now, i am sticking with the only necessary software: xterm and web browser (chromium).
There is also leafpad as text editor and qalculate as a calculator, those apps were like 200KB in total, so I added them. But other than that, only browser and terminal. I believe that everything (and I mean really EVERYTHING) is moving to the web. In most cases, web browser is the only software you need nowadays for various tasks. Spreadsheeds? online. Video player? Online. And thanks to apt-get (now included in Slax), most of the available software is online as well.
So for now, four icons will be fully sufficient.