Here's my current projections, based on my gameplay...
[spoiler]
Strongest Physical Character minus the Monk (factoring both attack and defense and HP, to an extent), on a scale of 1 to 10:
? - Viking (Axes having the most attack power have the most impact, but I don't know what is the hit rate on these to be completely confident)
8 - Knight (the weapon options seem more limited here, compared to the Viking, mostly because the Axe is not involved)
7 - Paladin (Axes giving it an edge over the Knight..., although the Holy Sword will probably give a nice damage bonus)
7 - Dark Knight (the evil sword has fewer options, but seems to be compensated with a higher attack power/hit rate since the Dark elemental has an impact under one scenario, all other scenarios look pathetic though)
6 - Thief (although, I really wonder what the actual compensation is for this character, the Sword is a solid option here)
6 - Red Mage (it shouldn't be here, but it is, since the Swords for the character is solid)
4 - Ninja (it is unfortunately underpowered, since Katanas and Knives focus primarily on hit rate, not Attack Power.. the Katanas need an attack boost to overtake the Red Mage).
3 - White Mage (hammers have a greater impact than knives, so thar she goes!)
? - Black Mage/Time Mage/Sage (they are lumped in the same group, since knives provide zilch for impact, and staffs have a better chance of standing out, believe that or not)
[/spoiler]
[spoiler]
Overall Package (considering all factors, including magic growth and magic availability, when applicable) from a scale of 1 to 10:
9 - Dark Knight - Haste is all you need to overpower this character with his weapon options
8 - Knight - has the best overall weapon+armor options
? - Viking - I'm not sure how Axes compare overall
7 - Paladin - medicore magic, even with the slightly better weapon options
7 - Red Mage - good balance of strength and magic, but doesn't excel at either
6 - Thief - I'm unsure of what other benefits are given for having no magic here
5 - White Mage - you need one because it's the cool thing to do, it is a competant fighter given the options
5 - Ninja - yes, even the White Mage surpasses you on a consistant basis physically, and your magic set is "good enough" to keep you around, but currently disappointing
4 - Sage - I wish Tellah was this good, though attack power would be hindered, it doesn't matter as much since you are given full range of the most powerful of magic (I like my characters to be semi-compentant fighters)
3 - Black Mage - bad weapon options coupled with no strength boosting makes this guy kinda gutless for some stretches
2 - Time Mage - like the Black Mage, but having worse magic options
[/spoiler]
Also, you have some naming inconsistancy in the character selection screen... you see "Wiz" instead of Mage for all the spellcasters.
Minor suggestions:
[spoiler]
Don't call it "Venom Axe" if it doesn't have Bio in it.

Consider a Rune Axe that kills mages? Try a different common FF series axe name...
Don't call it "Defender" if it doesn't provide a defensive benefit... names are semi-important because it implies certain characteristics of the weapon more often than not...
[/spoiler]