Actuation device positioning systems and associated methods, including aircraft spoiler droop systems are generally disclosed herein. One aspect of the invention is directed toward a positioning system that includes an eccentric cam and a drive mechanism coupled to the eccentric cam to rotate the eccentric cam between a first cam position and a second cam position. The system can further include an actuation device having an anchor portion and a movable portion that is movable relative to the anchor portion, the anchor portion operatively coupled to the eccentric cam. The eccentric cam can be positioned to move the anchor portion to a first anchor position when the eccentric cam is rotated to the first cam position and to move the anchor portion to a second anchor position when the eccentric cam is rotated to the second cam position.