My 1963 Craftsman tap and die set has adjustable round dies. That has long since been discontinued.
I have several of the type of adjustable sets as Nelson illustrated. I bought them off Ebay. They seem to be much more scarce these days.
At work,I bought a NEW set with the old style adjustable dies,but it cost about $350.00 for a fairly small size set. So,I recommend picking them up used.
BTW,if you get a used set with a chipped cutter in a die,you can still buy them from MSC. But,they are not cheap.