You should be able to make any distro runs on Xbox as all it needs is a xbox compatible kernel and a special nv_xbox driver for X(even that is optional if you don't mind vesa driver).
However, you won't be able to just "install" it, you need to play around with how to creat the rootfs. I have no problem making debian woody and sarge running on xbox, fedora core 2 as well.
However, I don't see the point of making lindow work on Xbox as it is more a desktop oriented distro and IMO, Xbox is not a good system for desktop usage, the display sucks and only 64M RAM can't accomdate KDE or GNOME very well.