From the list of New Feats, I would add the following to the list of Fighter feats:
Greater Manyshot
Power Critical
Superior Expertise
Superior Two-Weapon Fighting
It's interesting to note that some of these feats are in the SRD - some are epic and some are from the psionic book. They are all listed as fighter bonus feats except for Superior Expertise, but I would definitely allow that.
To be honest, I would be very flexible with what qualifies as a fighter bonus feat. If the player can justify it in some way, I would lean towards allowing it. It's probably easier to list what doesn't qualify as a fighter bonus feat (metamagic, item creation, turning feats, saving throw feats, etc) than vice versa.
In a sense, I would look at fighter bonus feats as a way for the player to create their own custom "combat style", a la the ranger.
Sounds like that would have been a nice design note...