FWIW, I did find this excerpt in Martial Power 2 that talks further about the Martial Power source.
Let's be clear that the last paragraph is supposition from inhabitants in the world. It's story and myth.
Moldvay Basic identifies Hercules as a fighter. Achilles is a candidate to be a fighter. These fighters can really fight!
And so can a 4e D&D fighter.
Looking just at the PHB, and setting aside paragon path and epic destiny - and so choosing 2 At-Wills, 3 Encounter powers, 3 Dailies, and 5 Utilities, here's a fighter build:
*Cleave (attack an enemy and set back another nearby enemy)
*Reaping Strike (attack an enemy, and even on a failed attack roll set them back somewhat, so relentless is the attack)
*Vorpal Tornado (17th level: attack all adjacent enemies, pushing them back and knocking them down)
*Warrior's Urging (23rd level: lure or wrongfoot all nearby enemies so that they are nearby, and then cut them all down)
*Cruel Reaper (27th level: attack all nearby enemies, move ten feet, and then attack all nearby enemies again)
*Devastation's Wake (19th level: attack all nearby enemies, and for the rest of the round keep going against any enemy that is, or moves, adjacent)
*Reign of Terror (25th level: a strong attack against one enemy, that focuses the attention of all enemies who can see me onto me (ie I mark them all))
*Force the Battle (29th level: a self-buff that adds to the damage of my attacks, and gives me a free opportunity attack against adjacent enemies until the end of the fight)
*Boundless Endurance (2nd level daily: regain hp while bloodied, until the end of the fight)
*Unbreakable (6th level encounter: gain damage reduction against a single attack)
*Into the Fray (10th level encounter: move towards an enemy as a minor action)
*Iron Warrior (16th level daily: self-healing)
*No Surrender (22nd level daily: when hp drop below zero, regain hp but until the end of the fight suffer a debuff on attacks)
To me, that seems like a reasonable imitation of Hercules. It's pretty fight-y. It's more
intricate than an AD&D or B/X fighter; it's also more intricate than a 5e Champion, but less intricate than a 5e Battlemaster. I don't see how it's in any way supernatural or "anime" in comparison to those other PC builds.