1. A remote controller for an electronic appliance, comprising: a display screen for displaying icons representing possible operations of the electronic appliance; a motion detector for detecting a motion within a field of view of the motion detector, the motion detector detecting a first predetermined motion of a moving object within the field of view as an indication that a remote control operation is to be started and, thereafter, tracking the movement of the object and outputting a cursor control signal representative of the motion of the object; a control circuit, connected to the display screen, the electronic appliance, and the motion detector and supplied with the cursor control signal, for controlling the display screen to display a movable visual indicator which tracks the movement of the moving object and for controlling the electronic appliance to perform operations corresponding to the icons selected by the user using the visual indicator.