The photo shows a few veneer sheets that I cut to rough thickness on the table saw or band saw. Then, I lay the veneer stock on a flat MDF surface and use the tool shown to sand to final thickness (tool shown upside down).
The tool consists of a block with 80 grit (?) no-fill sandpaper glued to it. On either edge of the block, there are runners of the desired final veneer thickness double stick taped to the sandpaper. In this case, it'sjust an 0.024" strip of maple scrap. I just place the rough veneer on a flat surface and carefully sand away with the veneer between the runners until barely any more dust is taken off the veneer. At that point, a check with calipers usually indicates the veneer is at final thickness.
Just be careful sanding on the "push stroke" towards the hand holding the veneer flat - the veneer can buckle or break. Just keep a short stroke on the back and forth sanding motion small and keep it close to the hand holding the veneer flat against the workboard.
I've had no problems making veneers as thin as 0.012.
