A very nice listing has been posted at Fable Wiki since this thread was posted, so refer there for a more complete list: http://fable.wikia.com/wiki/Hero_Weapons
There are 2 sides to weapon morphs.
First is practical and based on fighting style:
Lots of fast hits = Shorter and lighter. Faster speed, lower damage.
Lots of blocking/Flourishes = Longer and heavier. Slow speed, higher damage
So if you want a giant broadsword, you've got to play that style. Personally I loved the katana from prevous Fables, and that's almost exactly what I have because I only flourish now and then late in a combo.
Second is just the cosmetic look of your weapons. This comes in 4 stages. The actual morph happens at the time you upgrade your weapon's skill. So for swords/hammers, it happens every time you upgrade melee from lvl 2-5. The upgrades happen in the following order:
Hilt (Melee/Ranged lvl 2):
The handle of your weapon has responded to your use of the <Insert spell> by adopting a more arcane design
Your chest-hunting skills have mutated the handle of your weapon.
Your victories over Hollow Men have transformed the handle of your weapon into a bone-like substance
Your positive attitude towards other people has transformed the handle of your weapon
Blade Style (Melee/Ranged lvl 3):
Your weapon has reacted to your social skills by changing its appearance
Your weapon has responded to your ability to make money by being more intricately designed
The love you have inspired in the hearts of others has transformed the design of your weapon.
The time you have spent with your weapon has affected its physical makeup
Color (Melee/Ranged lvl 4):
Your weapon has reacted to your unquenchable thirst for potions by becoming green.
Your digging abilities have dyed your weapon a copper hue
Your weapon has reacted to your landlord skills by exhibiting a bronze tint.
Your business acumen in the property business has turned your weapon red.
Your success in combat against mercenaries has imbued your weapon with a steel tint
Your ability to make gold has caused your weapon to turn a golden color
Your weapon has responded to your fortune by adopting a golden tint
Aura (Melee/Ranged lvl 5):
Your massacare of sand furries has given your weapon a blood-soaked aura
Your questing adventures have imbued your weapon with an ethereal aura
If anyone posts a modifier I've missed I'll add it. Also, note that all upgrades happen at the time you upgrade the associated skill. If you don't like what you get, reload your game and change what you're focusing on. The system is sensitive to whatever you're doing at the time. That's why so many people get stuck with the bone hilt for killing Hollowmen.
There are 2 sides to weapon morphs.
First is practical and based on fighting style:
Lots of fast hits = Shorter and lighter. Faster speed, lower damage.
Lots of blocking/Flourishes = Longer and heavier. Slow speed, higher damage
So if you want a giant broadsword, you've got to play that style. Personally I loved the katana from prevous Fables, and that's almost exactly what I have because I only flourish now and then late in a combo.
Second is just the cosmetic look of your weapons. This comes in 4 stages. The actual morph happens at the time you upgrade your weapon's skill. So for swords/hammers, it happens every time you upgrade melee from lvl 2-5. The upgrades happen in the following order:
Hilt (Melee/Ranged lvl 2):
The handle of your weapon has responded to your use of the <Insert spell> by adopting a more arcane design
Your chest-hunting skills have mutated the handle of your weapon.
Your victories over Hollow Men have transformed the handle of your weapon into a bone-like substance
Your positive attitude towards other people has transformed the handle of your weapon
Blade Style (Melee/Ranged lvl 3):
Your weapon has reacted to your social skills by changing its appearance
Your weapon has responded to your ability to make money by being more intricately designed
The love you have inspired in the hearts of others has transformed the design of your weapon.
The time you have spent with your weapon has affected its physical makeup
Color (Melee/Ranged lvl 4):
Your weapon has reacted to your unquenchable thirst for potions by becoming green.
Your digging abilities have dyed your weapon a copper hue
Your weapon has reacted to your landlord skills by exhibiting a bronze tint.
Your business acumen in the property business has turned your weapon red.
Your success in combat against mercenaries has imbued your weapon with a steel tint
Your ability to make gold has caused your weapon to turn a golden color
Your weapon has responded to your fortune by adopting a golden tint
Aura (Melee/Ranged lvl 5):
Your massacare of sand furries has given your weapon a blood-soaked aura
Your questing adventures have imbued your weapon with an ethereal aura
If anyone posts a modifier I've missed I'll add it. Also, note that all upgrades happen at the time you upgrade the associated skill. If you don't like what you get, reload your game and change what you're focusing on. The system is sensitive to whatever you're doing at the time. That's why so many people get stuck with the bone hilt for killing Hollowmen.