Microelectromechanical systems with structures having piezoelectric actuators are described. The structures each have a body that supports piezoelectric islands. The piezoelectric islands have a first surface and a second opposite surface. The piezoelectric islands can be formed, in part, by forming cuts into a thick layer of piezoelectric material, attaching the cut piezoelectric layer to a body having etched features and grinding the piezoelectric layer to a thickness that is less than the depths of the cuts. Conductive material can be formed on the piezoelectric layer to form electrodes.