I don't remember the name of the game, but I once played an RPG where all weapons and attacks dealt the same damage according to your level. If you were1st level, all of your attacks did 1d6 damage. When you got to 5th level or something, all of your attacks did 2d6 damage. Then 3d6 at 10th level, 4d6 at 15th level, etc. It didn't matter if you were using a sword, a spell, an arrow, a brick, or your bare hands: the rules assumed you knew how to fight with it well enough to dispatch your foe as efficiently as possible.
It's a bit too "same-y" for my tastes, personally, but I can see its merits. At the very least, it would solve some of the issues that some people have described in this thread.