Yeah I would be curious to know how many people asking for an alternate fighter have played the fighter class and if so which subclass...
Played to level 13 as a Strength based battlemaster. I found the class to be exceptionally repetitive and boring. I had a number of maneuvers, but it was almost always optimal to use menacing attack, riposte, or precision strike. The other maneuvers were typically a waste of a superiority die. There was no dyanic decision making to the class. It was typically optimal to dump your dice as soon as possible in a nova round to take down a powerful foe, which mean for 90% of combat I was nothing more than a champion without an extended crit range.
My non combat contribution was minimal as anything I was capable of, another party member could do better.
I certainly killed things quickly in combat, but to me combat is about more than just dealing and receiving damage. I missed having an impact on the outcome of combat and the flow of battle in ways that go above and beyond just bashing faces.
At mid to high levels I began to run into mobility issues. Monsters were either faster, had greater reach, or had special movement modes (climb, fly, burrow) that made it challenging to close into combat every round, which significantly cut my total damage output.
My biggest gripe though was that I didn't ever feel like my character was advancing. The same 3 battlemaster maneuvers I learned at level 3 were the ones I was using at level 13. My numbers got bigger, but not in a way that was all that noticeable (I went from +5 athletics to +10 athletics over the course of 13 levels). I was fighting powerful monsters like golems, dragons, giants, demons, and the like, but my capabilities outside of dealing and absorbing damage didn't seem to reflect the capabilities of a warrior who can fight such monsters.
As to a mythic warrior, check out the 3e warblade. It is capable of a variety of martial techniques that a 5e fighter cannot hope to replicate. Also, in 3e it was possible for warriors to perform mythic martial exploits such as lifting 20,000 lbs, shattering stone walls with their bare hands, jumping 50 feet into the air, wrestling huge size creatures with the hope of winning, and more.
An example of a mythic 5e warrior is this class:
https://docs.google.com/document/d/1zHLtUBIOpuzbhov9Jk6GsCgftm1TIb2_Q8oHBWo26Jk/edit?usp=sharing