I was doing a little bit of Z80 work a while back, but I didn't particularly seem to appreciate its design (compared to say MIPS). Why do you think it's beautifully designed?
Admittedly, I do not have a lot of experience in other CPUs, but to me its just the way its designed. A simple syntax for assembly and the way it maps to byte values is clever. It doesn't require a lot of work to make things happen, ie "hacks" for interacting with IO. I also like how there is a separate IO bus from the data bus, which means IO doesn't take up memory. The register naming convention is simple, and having "alternate" registers is cool.
I think GP's use of "hand-clocking" to refer to the factthat the z80 can run on a very low clock rate, to the extent that you can have a hand switch that sends individual clock pulses to the processor. This can be useful for testing purposes as well as for low power operation in embedded applications.
As the Z80 doesn't use dynamic registers (I think basically the only "modern" CPU to make this decision) it doesn't need a minimum clock signal speed to refresh the registers as every other CPU does.
This means you can rig up a push button switch and manually advanced the clock one button press at a time.
To me that's super cool. It also makes them really easy to debug.
Such a beautifully designed chip.