An organic light-emitting diode display may have an array of pixels. Each pixel may have multiple subpixels of different colors. To avoid undesired color shifts when operating the display, the display may be configured so that subpixels of different colors are not coupled to each other through parasitic capacitances. The subpixels may include red, green, and blue subpixels or subpixels of other colors. Each subpixel may include an organic light-emitting diode having an anode and a cathode. The anode of each organic light-emitting diode may be coupled to a respective storage capacitor. Capacitive coupling between subpixels can be minimized by configuring the subpixel structures of each pixel so that the storage capacitors of the subpixels do not overlap the anodes of other subpixels in the pixel. Anode and capacitor overlap with subpixel data lines may also be reduced or eliminated.