An item may have a flexible support structure and may include a flexible component. The flexible component may have electrical components mounted on component mounting regions in a flexible circuit substrate. The component mounting regions may be interconnected by serpentine interconnect paths or other flexible interconnect paths. The flexible circuit substrate and component mounting regions may extend along a longitudinal axis of the flexible component or may form a two-dimensional array. Two-dimensional mesh-shaped flexible circuit substrates may be used in forming displays. The mesh-shaped flexible circuit substrates may be auxetic substrates that widen when stretched (e.g., structures with a negative Poisson's ratio that become thicker perpendicular to applied force when stretched) and that therefore reduce image distortion. Temporary tethers may help hold flexible circuit substrates together until intentionally broken following assembly of a flexible component into the flexible support structure.