I've used a scroll saw with wood blades, but boy was it hard on blades and hard to hold straight line. I finally got a paper cutter and it works pretty good up to about .050", but 1/16" is harder, but does work. For .032" to .045" and cutting straight lines, hard to imagine anything better.
Not sure if I had got the larger size would have been any better for the 1/16" or not.