I really like the Idea of giving more diversity to the meele weapons. Apart from them having different skills, another interesting and easier to implement thing would be to let the different weapons of the same kinds have similar stat distribution.
For example, Hammers could have a higher damage variance than swords, or axes could in general have a higher base crit chance but a lower multiplier. This is similar to the way it's done in D&D, where all the weapons have different base stats, without some being just plainly better than others