Ubuntu Netbook Edition 10.04 (Lucid Lynx). Very easy installation, the only thing that didn't work straight away was the Broadcom wireless adapter, and Ubuntu notified me that proprietary drivers are available for that. One perhaps not totally obvious note, you have to be connected to the Internet in order to use the Hardware Drivers utility to download and install the Broadcom driver, so make sure you set up either a wired network or a wireless broadband connection first. The alternative, of course, would be to download the package to another computer, transfer the files to the 2133 and then install from that.
SimplyMEPIS 8.5: This is another of my personal favorites, but it took a bit more effort that the previous three. The biggest problem was the Chrome 9 graphic adapter, there is no driver for it in the distribution or MEPIS repositories, and the one in the Debian repositories is old (902) and doesn't work properly. I finally found the latest openchrome driver in the Mepis Community Repository, but even then it didn't show up in Synaptic when I added that repo, I had to actually download the package files and install it that way. The good news is, once that was done the display worked just fine. I think I might have had to fetch the Broadcom drivers for this one as well, but to be honest once I had them installed the first time (on Fedora), I just copied the contents of /lib/firmware/b43 from there to the other partitions as necessary.
So, there they are, all working very nicely on the little Mini-Note now. I think this provides an important illustration of how quickly Linux develops support for new devices. When I first got an HP 2133, a bit over a year ago, it was difficult and tedious to install Linux, and nearly impossible to find drivers for some parts of it. Today, installing Linux is basically a snooze, it took somewhere between 30 minutes and two hours, depending on how many drivers had to be downloaded separately after installation.
So the problem with Windows 8 64-bit installation now is, that it can't install drivers for ATI Mobility Radeon x1600, neither from Win 8 64-bit installation media, nor from Windows Update -service - it just installs generic windows display driver.
With Internet Explorer (this doesn't work with other browsers!) I checked Microsoft's update catalog service (where it-support of companies can download windows update -packages for centralized testing before deployment to workstations of them), so - do this with administrator-user in Windows:
One can download those Windows 7 -version drivers from that update catalog on a folder as cab-file and then to use that package to update graphics card drivers, in Device manager, graphics card properties and updating drivers from the download folder of those update catalog drivers (one can unpac cab-file with 7-zip or such). 2b1af7f3a8