How is this kind of cattle called?
I believe the cattle you're referring to are Japanese Waygu - there are a number of breeds under this rubric, but there are notable points:


Genetic predisposition to exceptional marbling and tenderness
The animals are hand-massaged by the farmer, due to insufficient space for the cattle to wander freely
Grain fed rather than grass fed, as the cattle is generally tethered or penned for its life.