So, seems there is lots of questions out there about this rare gem. Been doing a bit of research online, and the following is what I figured out, with several helpful links to pictures. Hope this helps anyone who is looking for more information on the TV Jack 5000.
Channel F clone?
Lots of people have suggested that the TV Jack carts are similar to Channel F carts, and maybe interchangeable (maybe even a clone of the Channel F). Bandai did distribute a lot of North American systems in Japan. Though the TV Jack has very similar carts to Channel F (shape, size, colour, even the grip ridges at one end), if you look at the end-label, the Channel F cart has rounded edges, while the TV Jack cart has square edges (compared YouTube videos). The dust covers are also different. The games, and the graphic quality of the games are obviously different too. So, could you classify this as a PC-50x? It appears it likely uses GI chips, but I don't think the carts would be interchangeable (again, YouTube comparison).
The entry in my list/database:
Bandai TV Jack 5000 (1978) http://68.media.tumblr.com/tumblr_m5y78z1IpO1qzjpvuo1_1280.jpg
Models/Licensed Variants/Clones
Bandai Video Mate TV Jack 5000 (Beige) (Japan) https://i.ebayimg.com/thumbs/images/g/OXkAAOSw-89ZPSnJ/s-l225.jpg
Bandai Video Mate TV Jack 5000 (Blue) (Japan) https://vgcollect.com/images/front-box-art/97243.jpg
Games [of course, I can't read Japanese, so there is a bit of guess work here]
Sports title (PC-501?) (AY-3-8610?) http://www.datasheetspdf.com/PDF/AY-3-8610/586568/1
Car Racing title (PC-504?) (AY-3-8603?) http://photos1.blogger.com/blogger/100/3773/1600/tvjack5000games.jpg http://www.datasheetspdf.com/PDF/AY-3-8603/586562/1 Motocross? (PC-502?) (AY-3-8760?) [couldn't find any close-ups of cart 3, so process of elimination from screenshots in ad, first link] Block 10 (PC-506?) (AY-3-8606?) http://i.ebayimg.com/00/s/MTIwMFgxNjAw/z/bR4AAOxyIYhSWVxk/$(KGrHqF,!lMFJTZzDBMLBSWV)jYH-g~~60_1.JPG http://www.datasheetspdf.com/PDF/AY-3-8606/586564/1
Unless it can be shown that the TV Jack is interchangeable with PC-50x, I would suggest the Bandai TV Jack 5000 is its own unique system of the Pong era ("generation 1"), the precursor to the Bandai Supervision 8000. In my own list/database, I classify dedicated Pong consoles separate from "cartridge-based" consoles (even though they basically use the same chips or discrete circuitry (Odyssey), and the carts aren't actually "programmable"). So I'll be adding the TV Jack 5000 to my list of Gen 1 removable media consoles.