If there's one thing we can be sure of, its that the incredibly clever modding community will figure out a workaround to get nude or mostly nude characters in Fallout 4 for console players.
While the options are now are incredibly sparse and don't give nearly the range of features available on PC, give it time and body replacement mods like Busty GRRL and less fully nude versions of the various body enhancer mods will arrive on PS4.
Perhaps even one day the Sony fans will get the Glorious Female Nude Mod... but for now, you'll have to be content with shirtless NPCs.
Looking for more PS4 Fallout 4 mods? Check out our list of the best (non-NSFW) ones right here.