Even though there seem to be quite a bunch of ways to level up your weapon skill in an easy fashion, this is one that I would like to share still:
The mounted NPC's at the Argent Tournament that you have to fight while riding a horse yourself are valid targits for weapnskill ups. Once I had to help a friend killing one of those NPC's because he couldn't do it himself and I saw I got weaponskills from hitting them.
So it's a pretty easy way as there is no agro issues and there is (atleast on my server) allways someone doing the daily quests to fight those NPC's.
:wave: