I would say Japan had their "pulp" era already and have moved on.
Pulp is just about any genre but generally high on the two-fisted action and the hero of the story is somebody extraordinary with a plethora of skills and impressive wits.
Manga and Anime went through a lengthy and, I'd say, their most, successful period using just such heroes, people with amazing skills going on awesome adventures and having epic romances. Rurouni Kenshin, for instance, is an impossibly skilled Samurai going about being awesome. Ranma Saotome is another pulpy hero, generally not as quick witted but definitely clever at what he does and remarkably skilled with his fists and with the ladies. Escaflowne is a girl transported to another world where she meets amazing dashing heroes who fight in giant mecha. A crossover between Doc Savage or Indiana Jones meeting up with Ranma Saotome who wind up teaming up to fight Nazis would be totally believable and awesome.
The current fad for personality-free students who get given their skills by divine favor (and being hit by a truck) will pass and eventually the pendulum will swing to heroes that are actually memorable and awesome. It's notable to me that characters from thirty years ago like Ranma and Sailor Moon are still getting more fanfic written about them than most of the modern Isekai blandness is.