Here's a couple of more pics of my overall stash. I live in South Florida and have access to an incredible amount of cigar stores, so if there is a particular box you're looking for, there's a good chance I can find it.
For overall size, I have two La Aurora 10" l x 8" w x 3-1/2" d. One is a Platinum Edition Cameroon with a pale yellow top label and the other is a Gold Edition Corojo with a gold top label. I'm pretty sure they are solid wood, but am unsure of the joinery. The bare wood is unfinished. They do have paper banding around the edges. They're actually quite nice.
I have a Padron Series 1926 that is 11" l x 7-3/4" w x 1-3/4" d. It has a torn label and a small gouge on the top that could be hidden by an overlapping fret board. I'd give it a light sanding and re-spray some lacquer or shellac due to some scratches. Case style with finger joints.
And if you're looking for something "crazy" how about a DOUBLE-lidded box? LFD (LDF?) Double Press, 11" l x 7-3/4" w x 1-3/4", both top and bottom open.
I have two Cohiba Churchills, solid wood, finger jointed, 10-1/4" l x 7-3/4" w x 2" d. Beautiful boxes, and I've had sucess with wiping off the Cohiba printing on these boxes in the past if you have a mind to.