A bicycle rear derailleur includes a base member mountable to a bicycle frame. A movable member is movably coupled to the base member. A chain guide assembly is rotatably connected to the movable member for rotation about a rotation axis. A biasing element is configured to bias the chain guide assembly for rotation in a first rotational direction with respect to the movable member. A damper assembly is operatively disposed between the chain guide assembly and the movable member to apply a damping force to the chain guide assembly when the chain guide assembly rotates in a second rotational direction opposite to the first rotational direction.