I think fighter powers and such will be much like the strong, fast, and tough hero talents from d20 Modern. Those talents include abilities to ignore hardness (or at least, parts of hardness...), extreme endurance feats, melee "smash" powers, speed increases, dodging bonuses, defensive rolls, damage reduction, elemental resistances, stamina bonuses, extra hitpoints, the ability to remain conscious after getting very badly hurt, and one of my favorites: second wind (which heals the character a fairly decent amount of damage).
Put those into a fighter, and I think you can still see the medieval Conan-Arthur-Drizzt-Aragorn-Beowulf feel.
Dragon-Tail-Cut/Wallop, as it was described, sounded logical enough. You hit the person hard enough, it knocks them down (that's what I gathered from it). It's not hyper-magical power, but it's cool and makes realistic sense.
I am not a fan of anime. There are few that I actually like, and I do think that D&D should make the effort to avoid a large amount of anime-style powers. However, I will admit that anime does have it's place in fantasy fiction, and should be allowed to have a voice in D&D. I think that the anime stuff should be reserved for classes like the swordmage, however, and should stay semi-seperated from regular D&D. As much as I loathe World of Warcraft for the effect it's having on fantasy fiction, I would rather see elements from WoW in my D&D campaign than elements of Inuyasha or Ninja Scroll.