A display may include an array of organic light-emitting diode display pixels having transistors characterized by threshold voltages subject to transistor variations. Compensation circuitry may be used to measure a transistor threshold voltage for a pixel. The threshold voltage may be sampled by controlling the pixel to sample the threshold voltage onto a capacitor at the pixel. The pixel may include at least one semiconducting-oxide transistor, silicon transistors, and a light-emitting diode. The diode may be coupled to a data line that can be used for both data loading and compensation sensing operations. Reset operations may be performed after data programming and before emission to reset the anode voltage for the diode.