LE was created using https://www.linuxfromscratch.org principles. It is not a derivative of any other distro. It should boot and run on any type of x86_64 hardware but LE is not a general purpose OS and it intentionally targets HTPC/SBC hardware and will be lacking drivers useful on non-target devices like tablets and laptops. In some cases you can enable drivers in the kernel when building an image. In others not, it depends on the specific hardware you're trying to use and what drivers exist for that device. As a rule we avoid trying to curate lists of "what works best" because the lists are never maintained for long and are outdated; and you won't find lists of tablets in our forum because people rarely use them and we don't have experience with them. There's not much need for touch-screens among our userbase so support for them is a bit of a grey area and our experience is limited/non-existent.
Our 'Generic' image runs Kodi under GBM, while Generic-Legacy (not something that I'd guarantee is around for much longer) runs under Xorg. It can also run under Wayland which exists in our buildsystem to support the Lakka retro-gaming fork that leverages our codebase; but we don't release LE images that use Wayland (as no need to) and our buildsystem is missing lots of things you would need to create a desktop environment.
Kodi implements its own rendering engine so you'd need to learn their UI and skinning process to do something. Kodi plays media well, but it is not a kiosk systema and does not support ebooks, email, or much in the way of communications. It could of course do more, but that's down to you and your development skills. IMHO you'll get further faster using a conventional distro or perhaps Yocto/OpenEmbedded which has a much broader hardware audience and more packages in its ecosystem.