With modern US building codes, I think it would be incredibly difficult to replicate those vintage English stadiums. I remember one of the big worries when the Red Sox were looking to build a new Fenway a while back, is that it would have to be much bigger, even with same capacity, to accommodate modern requirements for aisle width, proximity of seats, larger concourses etc. I think the old Yankee Stadium was in the same position, just not as bad.
Basically you can't just rebuild Fenway Park today as it would have like a billion violations. I'm not incredibly familiar with the inner workings of those English stadiums mentioned above, but I have a feeling we would need more space to replicate them.