>I know you can get Romex in 2-way (black, white) and 3-way (black, white, red) with & without ground, but do they make it in any other versions?

I'll jump in here with a Canadian perspective. We call it loomex, based on the historical construction method of the cable which was cotton loom impregnated with bitumen to insulate each conductor, paper spiral wrap around each conductor, with an overall outer jacket of cotton loom impregnated with bitumen. No bonding conductor in the older cables, but since the 60's all loomex comes with a bare bonding conductor.

Present-day construction is thermoplastic or thermosetting insulation on each conductor with an overall PVC jacket.

Available in black/white, black/red/white, and black/red. White is what we call the 'identified' conductor, and is always used as the neutral. Black is hot, red is hot, and are fed either from a split 240/120V single-phase panel so that there is 240V potential between black-red, or from two phases of a 208/120V 3-phase panel so that there is 208V potential between black-red.

The black/red type of loomex is sometimes called Heatex because it is used for 208V or 240V feeds to baseboard heaters and water heaters. We used to be permitted to use black/white loomex to run 208/240V circuits, but it is mandatory now to use the black/red type of cable.

Regards,
Brian