Cutting, folding, twisting, joining, tearing, scrunching. the work can be delicate or coarse...and scrunching up paper and throwing it with all your energy is a good way to get rid of pent up energy. It is unlikely a paper ball will do much damage.

Lots of ideas on line. Intricate highly focused activities such as Origami can help ground and calm people, as well as develop tenacity, fine motor skill development, spatial thinking and problem solving.

A great stress reliever.