I've found solutions to many of these problems in the structure of a long-running shonen manga, JoJo's Bizarre Adventure. Western superhero comics have their problems(continuity, the shackles of canon, constant writer changes, death never sticking, popularity power, inconsistency, fantasy kitchen sink settings, etc.) and Japanese shonen manga tend to have problems of their own(power creep, gimmick pileup, cyclical in-story powerups, serial escalation, interminable training sequences, tournament arcs, boring invincible heroes, popularity power, inconsistency, fantasy kitchen sink settings, etc.)
JoJo's Bizarre Adventure has a format that solves both sets of problems simultaneously. Mind you, it is still a big dumb adventure series, but I really admire its structure, and it seems to have come together accidentally, oddly enough.
JJBA is broken up into discrete Parts, each with its own major story arc and self-contained plot. Between each Part, there's a timeskip, and they're all set in differing locations, with a different protagonist. All JJBA protagonists have only three things in common: a star-shaped birthmark, a bloodline, and a name that can somehow be abbreviated as "JoJo." Everything's name is a music reference, but that's neither here nor there. Anyway, each Part has its own tone and takes a foray into a different setting and genre from the rest. All of them have some aspect of shonen fighting manga, in the vein of older works like Fist of the North Star, but they spice it up with a combination of mystery, horror, and copious helpings of ham and high camp. The fights can also get really clever, and they run on the author's own insane brand of logic. Villains rarely come back. Death is final, and targets protagonists and antagonists indiscriminately(though protagonists do tend to be better at surviving). The result of this structure is that it's really, really, really hard for things to get stale.
The series starts out with vampires and a special breathing technique called the Ripple as its main gimmicks, but it exhausts their potential by the end of Part 2 and moves on to another kind of power: Something called a Stand. Now, I'm not gonna bore you with the specifics of how Stands work,
but they define the rest of the series and they all adhere to a few basic assumptions and exist within a set of parameters on which they're graded from E to A, similarly to RPG stats: Power, Speed, Range, Durability, Precision and Learning. I think this system was originally in place to emphasize how strong the third JoJo's Stand was, since Stands generally had some kind of ability and his Stand, Star Platinum, had none beyond crazy good stats, but it ended up being a really good system for keeping power creep in check, since every parameter was finite and had already been shown at its limit in the third part. Also, due to the nature of Stands, nobody in JoJo is actually invincible, keeping a tactical element in fights.
In general, JJBA is basically about fabulous musclemen violently posing at each other for the fate of the world, as written by the Timecube guy. The parts are as follows:
Part 1: Phantom Blood(set in 1880s/1890s England, Gothic Horror)
Part 2: Battle Tendency(set in 1938, Pulp Adventure)
Part 3: Stardust Crusaders(set in 1987, Pulp Adventure, Travelogue)
Part 4: Diamond Is Unbreakable(set in 1999 small-town Japan, Murder Mystery)
Part 5: Vento Aureo(set in 2001 Italy, Mafia)
Part 6: Stone Ocean(set in 2011 Florida, because of course
, Prison Break)
Part 7: Steel Ball Run(set in parallel-universe 1890s America, Western)
Part 8: Jojolion(set in 2011 parallel-universe small-town Japan, Ontological Mystery)
Of course, at the end of the day, it is still dumb entertainment. It is, as you said, "people in tights punching each other while bellowing their inner feelings." But at least it's competently-executed dumb entertainment. It's refreshing to see it actually function as a mode of storytelling.