Portable electronic devices are provided. Each device may be formed from two parts. A first part may be provided with components such as a display, a touch screen, a cover glass, and a frame. A second part may be provided with a plastic housing, circuit boards containing electrical components, and a bezel. Engagement members may be connected to the first and second parts. The engagement members may be formed from metal clips with holes and springs with flexible spring prongs that mate with the holes in the clips. The metal clips may be welded to frame struts on the frame and the springs may be welded to the bezel. Hard stop structures may be used to vertically align the first and second parts. A frame in the device may have an integral gasket.