Jig saws are even safer than a bandsaw. I know I used one as early as 7th grade unsupervised. For projects, bird houses are pretty popular and can be made with only hand tools. There are lots of styles to choose from.

Wooden book ends or small what not shelves.

Kids love critter cages made from wood and metal window screen.

The cub scouts have the pine wood racers both cars and sail boats.

Kite string winders, napkin rings, key organizers, wood trivets, cutting boards with fancy shapes, rubber band racers