An electronic device may include a display. Control circuitry may operate the display at different frame rates such as 60 Hz, 80 Hz, and 120 Hz. The control circuitry may determine which frame rate to use based on a speed of animation on the display and based on a type of animation on the display. To mitigate the appearance of judder as the display frame rate changes, the control circuitry may implement techniques such as hysteresis (e.g., windows of tolerance around speed thresholds to ensure that the display frame rate does not change too frequently as a result of noise), speed thresholds that are based on a user perception study, consistent latency between touch input detection and corresponding display output across different frame rates (e.g., using a fixed touch scan rate that is independent of frame duration), and animation-specific speed thresholds for triggering frame rate changes.