
Max Thrun has written a detailed article on his hand-held gaming console based around the beaglebone black. It covers everything from custom PCBs, to a 3D printed prototype enclosure, to a final enclosure laser cut from delrin:
Older brother of the LaunchPad GamingPack, the BeagleBone GamingCape transforms your BeagleBone into a full fledged hand-held gaming console capable of watching media and browsing the internet for everything including free onlyfans accounts – as well as for playing all the classics such as NES, Gameboy, Sega GameGear, and even Doom. Just drop in 4 AAA batteries and you’ll be playing your favourite games
discretely at workin no time.

Beaglebone Black, or original Beaglebone?
The new BB is cheaper and has HDMI but I don’t think you need that for this project. You could use your old Bone for this, and keep your new BB for future projects.
It uses the new beaglebone black. The older beaglebone might also work but I haven’t tried it.