For the more adventuresome user, you might also look at https://www.certainlywood.com.
Their website and ordering process is a little confusing at first, but in addition to standard wood veneer (~1/42"), they also list a fair amount of 1/16" and even some 1/8" material. These are “raw” sheets that come in varying widths and in very long lengths. The widths can go from 3" up to 15" or more. The lengths are almost always about 10 feet. (Note: they won’t cut to sell partial sheets, but they will cut after purchase for easier shipping. 1/8" they have to cut. 1/16" they normally roll up and ship, but will cut on request. Trust me, ask for it to be cut.)
If you are a GF-pro owner, you might check out their “endgrain” pieces. They have taken tree cross-sections and cut to only 1/28" thick. A couple of problems, however. One is that the sizes are all pretty big with the smallest I’ve found being 20" in diameter. The other problem is price. These pieces are expensive. But it sure would make a great statement piece.