Knoppix may be run with several desktops, and GNOME and KDE can be chosen with the desktop cheatcode. After the introduction of LXDE, there does, however not seem to be so much interest in other lightweight alternatives.
What about using Enlightenment and the EFL (Enlightenment Foundation Libraries)? This is used in a Ubuntu derivative called Bodhi Linux, and some users seem to be very content - it's seemingly not the best for newbies, though.
What makes Enlightenment particularly interesting to me, is that it is the preferred desktop alternative for the Tizen project for full-version Linux on mobile devices (as opposed to the kernel+Android stack approach) This is Debian-based, and shouldn't really be that far from Knoppix, porting Knoppix to mobile devices should become easier with every day now.
Using Enlightenment with Knoppix could provide one of the stepping stones to mobile Knoppix, or is this approach futile?
Without having asked about this, I guess KK's first answer will be negative. Knoppix is extremely hardware agnostic, but achieves that by sticking to hardware based on x86 architectures, and keeps the 32-bits approach. Not even a 64-bits version is in sight (if things haven't changed lately), and I have come to support his approach, IMHO it's very practical to chroot into a 64-bits system from hybrid Knoppix and doing everything purely 64 bits there.
This 32/64-bits situation will relatively soon be parallelled in the mobile scene, making the whole situation even more convoluted.
It will be very interesting to see how the Tizen project develops - but there will actually be several Debian-based mobile alternatives. A Ubuntu version was recently announced, and you can already download an alpha release of Bodhi for the Asus Nexus 7 tablet. The Knoppix take on this might be to adapt a minirt.gz for mobile devices, which I guess will have to be tweaked separately for each new device in the first place.
With 2-4GB of RAM and 16-32GB of internal storage on the upcoming devices, there should be room for a Knoppix compressed image+persistent store without wiping out anything else, setting up for multi-boot.
HPE ProLiant BL460c Gen8 735151-B21 E5-v2 Blade Server LOADED w 512 GIGS MEMORY
$280.00
Dell PowerEdge FX2S FC830 Blade Server Chassis Enclosure 2*2000W PSU NO BLADES
$209.99
DELL PowerEdge M630 Blade 2x E5-2699v4 2.2GHz =44 Cores 32GB H330 2x10Gb X520
$467.00
PowerEdge M630 (for PowerEdge VRTX) Xeon E5-2630 v3 256GB RAM NO SSD/OS
$239.99
Dell Poweredge R210 II Server Xeon E3-1230 3.2ghz Quad 16GB No HDD 2x HDD Caddy
$55.00
Dell PowerEdge FX2S 4-Node Blade Server Chassis + 4x FC640 Blades & 2x 2400w PSU
$599.99
Zima BLADE ZBB001-BK20032 NEW SEALED
$92.95
Dell PowerEdge M630 / HHB Server Module w 2x Intel E5-2680 & Dell P3V42 No HDD
$64.99
Dell XJ6VP PowerEdge FX2S 4 Slot Blade Chassis PEFX2S 2x Power Supply *No blades
$309.12
DELL PowerEdge M630 Blade 2x E5-2667v4 3.2GHz =16 Cores 256GB H330 2x10Gb X520
$363.00