parallel projection technologies, [6-8] computed axial lithography as an inverse tomography approach based on multiple 2D optical one-photon exposures from multiple different directions, [9,10] and different forms of multiphoton-absorption 3D printing, [11-16] mostly based on femtosecond or picosecond pulsed lasers. Twophoton lithography has been pioneered by Maruo et al. in 1997. [17] In a few exceptions, continuous-wave (cw) lasers have been used. [18,19] Going "faster" can mean scanning a single focus faster, [20] adapting multiple foci approaches, [21,22] scanning multiple foci faster, [3] or printing more voxels/ pixels in parallel per unit time in projection-based approaches without scanning in the focal plane, [6,7,9,10,12] yet scanning normal to the focal plane. In any case, increasing the printing rate is inherently connected to either using more laser power and the same photoresist, or to using comparable or less laser power by exploiting optimized more sensitive photoresists. As femtosecond or picosecond laser power is a precious commodity associated with a considerable fraction of the cost of most advanced 3D multiphoton laser printers, we dedicate the main part of this contribution to a screening of sensitive multiphoton-absorption-based photo resists. These photoresists are either taken from the published literature, reproduced and remeasured in our labs, or are newly investigated herein as promising candidates. Driven by recent advances in rapid multiphoton single-focus 3D laser nanoprinting, multifocus variants thereof, and projection-based multiphoton 3D laser nanoprinting, the necessary average total laser powers from femtosecond laser oscillators or even from amplified femtosecond laser systems have exceeded the Watt level. Aiming at ever faster 3D printing, there exist two options: Using yet more powerful lasers or searching for more sensitive photoresists allowing for higher speeds at comparable or lower power levels. Here, altogether more than 70 different photoresists from the literature and a few new candidates are reviewed with regard to effective multiphoton sensitivity. A dimensionless sensitivity figure-of-merit allows to directly compare data taken under sometimes vastly different conditions.