We demonstrate high power ultrashort pulse delivery through a commercially available multicore fiber (MCF) and a multimode graded-index fiber (GRINF) for imaging and laser ablation. Lensless focusing and digital scanning of ultrashort pulses through the optical fibers is realized using wavefront shaping. We compare the performance of the two systems in terms of focusing efficiency and peak power delivery. Furthermore, we investigate the limitations that nonlinearities induce when high peak power ultrashort pulses are launched in MCFs and GRIN fibers. Proximally-only controlled two-photon fluorescence imaging and laser ablation are demonstrated through both investigated systems.