We present full-sky coadded maps created by uniformly combining the first five years of Wide-field Infrared Survey Explorer (WISE) and NEOWISE imaging at 3.4 μm (W1) and 4.6 μm (W2). By incorporating both pre-hibernation WISE exposures from 2010 to 2011 and the first four years (2013-2017) of post-hibernation exposures from the NEOWISE-Reactivation mission, we are able to provide W1/W2 coadds that span a 15× longer time baseline and are substantially deeper than the standard AllWISE data products. Our new five-year “full-depth” coadds are now the deepest ever all-sky maps at 3-5 μm, permitting detection of sources ∼2× (∼0.7 mag) fainter than AllWISE at 5σ significance. We additionally present an updated set of “time-resolved” W1/W2 coadds, which separately stack each of ∼10 sky passes at each inertial sky location, enabling motion and variability measurements for faint infrared sources over a long ∼7.5 yr time baseline. We highlight new processing improvements relative to our previous “unWISE” coadd releases, focusing on astrometric calibration and artifact flagging. The deep WISE stacks presented here are already being used to perform target selection for the Dark Energy Spectroscopic Instrument, and our full-sky coadded WISE/NEOWISE products will be key precursor data sets for upcoming wide-field infrared missions including SPHEREx and NEOCam.