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Point blank a fighter with platemail, shield and longsword should not be touched by any other charater in the following categories:
Hit point pool
armor class
BAB
Melee damage
Eh? Other than the Barbarian having a d12 hit die since 1e Unearthed Arcana, BAB for the fighter is going to be the same as for the other full-BAB classes and that's not going to change, either. As AC can depend on things other than armour (arguably casters can have the highest ACs, although with a time duration) and Melee Damage is going to be dominated by context (Sneak Attack!) and magic weapon properties and feats, that looks to me like a rather difficult prescription to meet, too.
In any case, I think that the fighter's advantage should be that he or she is most flexible, as they can take many different feats, wheras another meleer will have to have sacrificed breadth or depth. I have no interest in fighter-only feats and I certainly don't want any more of them; the biggest problems in the game, in my opinion, are about generic melee, not just the fighter's part of it.
The fact that you're focussing on sword and shield would also require a change or two, given the advantage of two-handed combat.