1. A computer-readable storage medium having a game program stored therein to be executed by a computer of a game apparatus for causing a display apparatus to display an image of a three-dimensional game space, said game apparatus including a controller device for operating a plurality of player-controllable characters which appear on the display apparatus as seen from a virtual camera positioned within the game space, any one of which player-controllable characters can be designated as an operation target selected character in response to an operation of the controller device by a player, said game program causing the computer to perform operations of: designating one of the plurality of player-controllable characters as an operation target selected character at a start of a game; causing the player-controllable operation target selected character to perform a motion in accordance with a motion operation as indicated by the player by operating said controller device, and causing non-selected player-controllable characters, which are player-controllable characters other than the player-controllable operation target selected character, to autonomously perform a motion based on a predetermined motion rule; setting a position of the virtual camera in accordance with a position and orientation of the operation target selected character wherein the display apparatus displays an image of a partial area of the three-dimensional game space as seen by the virtual camera, and wherein a displayed view of the game space changes in accordance with a motion of the operation target selected character; displaying an aiming cursor at a center position within the displayed image of the partial area of the three-dimensional game space as seen by the virtual camera; in response to a predetermined operation of the controller device made by a player after the aiming cursor is made to coincide with a position of one of the non-selected player-controllable characters displayed on the display, changing a designation of a player-controllable character from an operation target selected character to a non-selected player-controllable character and setting the non-selected player-controllable character as a new operation target selected character; and switching the position of the virtual camera to a new position and orientation associated with the new operation target selected character in response to setting said non-selected player-controllable character as the new player-controllable selected character, thus causing the display apparatus to display a view of a partial area of the three-dimensional game space as seen by the virtual camera from a new position and orientation.