If you really want to trick it out, then you have to start splitting classes and do a proper 3.5 optimisation.
I have done it before and I know what is produced is a nightmare. Mix in things like: paladin til the save boosting power, barbarian alternative that gives the +1 attack, frenzied berserker for the improved power attack. Don't underestimate playing it straight though. Feats might be less powerful than spells, but they work in AMF. So it can still give you a massive edge.
But the key thing to remember is: if you play a fighter as shaka zulu in the world of guns, then you get shot. There is no reason at all that a fighter can't have spelled equipment and use spell options. They just cant afford to use them as often as a mage or cleric.
So flight, teleport, phasing, increased size etc are all available. With a cohort, you can even have an artificer as your offsider, if your gm doesn't like you mixing it up without logic.
The key point is that a fighter works perfectly well in a AMF. Almost no other build does except a rogue. This is something both classes should exploit constantly. All the nonsense of CoD comes from allowing them to use their buffs to eclipse the fighter. Without magic, you can churn them into chum.
And to me a 'classy' character is all about how you play them. This guy could be a monochromatic dick, or the life of the party, that is all on you.