box, but the kind with the removable lid. All you absolutely need is a jigsaw, drill, router table with flush trim bit, and some sandpaper.
I sketched an irregular shape on some 3/4 inch MDF.
I rough cut the outside of the shape with my jigsaw.
I drilled out the center and cut out the inside with the jigsaw.
I used a sanding drum on my drill press and a disk sander to do final shaping of the template.
I traced the template shape on a 1/2 inch piece of poplar.
I cut out the outside and inside of the poplar as with the template, leaving about 1/8 inch or less on the waste side of the line.
I applied double sided tape to the rough shaped poplar and attached the template to it.
I used a flush trim bit on the router table and used it to transfer the shape of the template to the poplar.
I traced and roughed cut the next ring and glued the rough cut ring to the finished ring.
I also tacked it on with a few brad nails.
I shaped the rough ring on the router using the previous finished ring as the template.
I repeated for all the rings, not using the brad nails on the top ring as it would show.
I used some sandpaper taped to a dowel to smooth the inside and outside of the rings, while wished I
had a spindle sander.
For the lid insert, I sketched the inside shape of the box on some 1/4 plywood for the lid insert.
I cut it out with the jigsaw.
I finished shaping the insert with the sanding drum and belt sander.
I glued the insert to another 1/2 inch piece of poplar.
I rough cut the outside shape and taped the lid to the rings. I shaped the lid on the router table with the flush trim bit.
For the bottom, I traced the outside shape on another piece of polar and rough cut it with the jigsaw.
I glued it to the rings and finished the bottom with the flush trim bit.
I rounded the top and bottom with a rounding bit and used a chamfer bit in the underside of the lid and the top of the box.
I finished the box with a few coats of Danish oil.
Now you have a box that looks like it was made on a bandsaw. Would it be easier to make with a bandsaw? Probably, but I didn't have one at the time.