Sounds like
something you can buy ready-made…except I can’t find anything under 7” wide,
and I have hunted really hard. I do some minor work with wood myself, but this idea has been continually pushed to the back
burner. Sigh…. I am never going to get these made myself.

They will not actually be used for CDs, but that is the
closest thing I can compare them to. I made a library in a bedroom now vacated
by a grown child. I filled it with Ikea “Billy” wood bookcases. There is one
short bookcase I use as a centerpiece, flanked by tall bookcases. There is a
gap on each side, where I want to put something of the shape of a vertical CD
cabinet. But with only, say, 4 shelves: I will put small decorative objects on
those shelves, not CDs. I have tall skinny lamps to put on top of the new
cases.

Here is a photo of the where they would go: each side of the short bookcase in the center

So imagine a pair of narrow bookcases, built of ¾” thick wood.
Width to fit a 6 3/8” space. Height
about 42” . Depth is somewhat flexible.
Somewhere between 6” and 11”; greater depth will not be used, so it could made
out of wood that is available.

Like this, http://www.ikea.com/us/en/catalog/products/90277145/#/90277150

Except made to the right (narrower) width I need, and half
the height. It is the WIDTH that is critical, as anything wider will not fit. (the Ikea unit is almost 8" wide)

I would want them UNFINISHED, as I will stain it to match
the others myself. I don’t need an expensive wood. I don’t know what kind of
wood veneer the Billy bookcases use. The grain is not very prominent.

If there is anyone out there who can do this job, please
post here or send me a message via Houzz messaging system. I do some traveling
around the Midwest during the summer, generally within a 6 hour drive of Chicago, so could
potentially pick them up at some point during the summer/fall, even if you are
not near Chicago.