Methods and systems for manufacturing composite aircraft wings and other structures are disclosed herein. A tool assembly for use in manufacturing composite laminates in accordance with one embodiment of the invention includes a tool plate carried by a movable support system. The tool plate includes a tool surface configured to support fiber-reinforced resin material and define an outer mold line (OML) of the fiber-reinforced resin material. The movable support system is configured to respond to signals from a controller to automatically change the shape of the tool surface and alter the OML of the finished part to suit the particular application. In one embodiment, the movable support system can include a plurality of telescoping actuators operably coupled to the tool plate.