1) Bravery
Dragon: I am scaring you armored guy. Roll!
Fighter: I am being scared. Bravery gives me a bonus! To my worst save... which makes it only marginally less likely that I will turn tail and run from this iconic match up...
Wizard: Why are you running, what happened to Bravery? Oh wait that is your worst save... I am getting eaten aren't I?
Dragon: Crunching and mumbles: I like scaring away the ones with the hard candy shell.
Fighters should get to use Fortitude for Fear saves and get the bonus based on level.
2) Encumbrance and Armor Training
Work it out so that above average stats (12-13, +1 mod) on a Fighter actually allow him to wear heavy armor and be unencumbered. The way I think Armor Training intended at 7th level (for that matter make sure it works with Medium armor too).
Currently the rules are weak and if your GM implements encumbrance by weight you suddenly are penalized. I suggest that Armor Training, the second part (moving at normal speed in med/heavy armor 3rd/7th) mean that the armor is weightless for purposes of encumbrance penalties, but still counts against total weight carried.
3) Attacks, Attacks, Attacks
NPC: (to the fighter) So what skills do you bring to the table?
Fighter: I hit stuff, stuff hits me, it takes a while.
Fighters always used to be the multi attack guys, then 3rd edition gave multiple attacks to everyone. Pathfinder kept this up and the Fighter has faded as a core member of a party. Make it the Fighter's thing again. Everyone gets three attacks (if you go full attack), give the fighter ways to cut down the negatives, give him extra attacks. Make him the melee monster he is supposed to be. The quintessential tank, Hit Points to burn, AC, damage output like the light from a small city.
4) Captured Spellbooks
Provide some way to attune them to you, so you do not have to make the daily check. That way there is a benefit to keeping captured spellbooks. Make a check to "learn" the book, just like learning a new spell. Then eliminate the daily check to use a spellbook that is not yours, because after you "learn" it, it is treated like yours.
Ultimate Magic has books that work like this - just carry those rules to all spellbooks. Nothing better than an enemy wizard using your spellbook against you.
5) Eliminate Feat Taxing
Make all feats count and, personally, make them all more modular. Combinations of feats build cool stuff you can do; so from the first one you take to end of a chain - you are doing awesome stuff.
My 2 cents for right now.