There are a multitude of things that I will attempt to describe about the solution I am looking for in this post.
What is needed is a single board computer that:
The reason for the lack of a BIOS or UEFI is a design goal of moving some of their functions into software (a bootloader). The hope is to have a device who's first stage bootloader shares similar functionalities as those in mobile phones or other consumer electronics devices.
The reason for preferring an Atom processor is because the bootloader solution described above is usually for SoCs.
As for the absence of LVDS and VGA, one board I found uses USB ports and an HDMI port though it was never mass produced (Toradex's Xiilun PC).
This may evolve into consumer electronics device.
Note that most of these board vendors do not constnatly monitor this forum so you will have to do a little legwork in your search.
I hope this helps.
J. Felix McNulty
Community Moderator (Intel contractor)