Update - I have the first one done (except for the finished soil at the top which I will "angle" up to the compost wall.) I will then put leaves on top of that to decay over the winter...so this will be ready to plant in come spring. The 2nd bed (to left of first one) I decided to pour a concrete footer and mortar the bricks in so its more stable and wont move. The first bed I used a spot of liquid nails on each brick since I wasn't sure what I wanted to do and if I was going to tear the whole thing down. Now that I am loving the design and concept, I will make concrete footers for the future ones. I added some Hügelkultur to it too. Rotting logs at the bottom, then wood chips, branches, dirt, leaves and finished compost at the top. I will add more leaves for mulch layer and some amendments (wood ash and azomite) so they can break down over the winter too. The final soil at top will be angled down a bit to cover the holes in the compost wall. See attached images.
I will get "into" the center compost from time to time to turn, add goodies, water if too dry, etc.. and will be able to get inside to remove the finished compost to take over to the "sifter" so I can layer the fines to the top of the same bed. The bigger articles will get put back in the compost bin to continue decomposing.