Hybridization of mixed-dimensional materials into macroscopic holey frameworks represents the frontier of manufacturing strategy. However, the performance and application range of conventional hybrids are severely restrained by the rough shapes and tortuous networks. Here we demonstrate a general methodology for the 3D printing of graphene-based mixed-dimensional (2D + nD, where n is 0, 1 or 2) hybrid aerogels with programmable geometries, highly interconnected porous networks, outstanding compressibility and competitive conductivity. Remarkably, shape-conformable printing on curved surfaces is achieved. When employed as electrodes in micro-supercapacitors, attributing to the sufficient ion and electron transport pathways and adequate mechanical strength, the hybrids deliver an areal capacitance of 457 mF cm-2 at a current density of 20 mA cm-2 even under large compression strain (≥ 50%). Notably, the areal capacitance enhances quasi-proportionally with the increase of electrode mass loading (as high as 7.68 mg). This general strategy paves the way towards the hybridization of various 0D, 1D and 2D functional materials for a host of practical applications.