I am looking into eventually purchasing some modern, high quality Okito coin boxes. Who has the best reputation for modern and high quality when it comes to these boxes?

Jim "Zee" Zachary

I was going to recommend the Jim Zee box. The box itself is necessary for several Okito box routines because it is slightly bigger than other Okito boxes.

I didn't see the Jim Zee box offerred here on Penguin. Does penguin offer it? If not, where could I purchase these boxes?

http://www.jimzeemagic.net/coinboxes/prices.html

It's not offered on Penguin. Here's Jim's shop site.