Years ago there was British scroll saw that was completely safe. It wasn't high end, and it wasn't dear, but was just the thing for kids and for light work. The blade was a standard scroll saw blade but it had a very short stroke. You could put your finger on the blade and cut a piece of 6mm ply at the same time. It cut like a hot knife through butter ;). The blade would just catch the skin on your finger and the skin would move with it without cutting. Took me a little sweat to test at a wood show but I did and it never ;) Actually new some people who purchased the machine and an arts class at a Primary school purchased 6 of the. Haven't heard about them for ages, but they may still be available.
Regards John