I prefer the Eldar Power Sword. This is the weapon of a skilled warrior. Not as clumsy or random as a Shuriken; an elegant weapon for a more civilized age.
Hmm... Ranged Combat: Eldar Long Rifle (Gotta love that sniping :3) Melee Combat: Mirrorswords (Show the Howling Banshee's some love <3)
This might not be the first weapon that comes to mind for other Eldar players, but I love Scatter Lasers, whenever I get to shoot 24 x S6 laser shots (that now have Laser Lock!) from my Warwalker squad at any target, that just brings a big smile to my face xD. As for CCW, I rarely get into CC now (3rd Ed was the golden age) but I would have to choose Witchblades, especially the Staff of Ulthamar =P.
Melee: We need more Direswords! Whats not to love about a weapon that may cut you in a half and then -if you survive- destroy your mind killing you instantly... only with a single hit! Ranged: What happens when you mix a Shuriken cannon with a lethal toxic that would get a smile of old Nurgle just before your enemy explodes in a violent way? : The never-old, Shrieker Cannon! Heavy: Want to blast some Mon-keighs out of this universe? Are the neighbor orks causing too much noise with their WAAGHs? The daemons don't want to leave your home? We have your solution! Only 1 shot of your friendly wraithcannon and whats left of them will be teleported to the Warp! Warning: Surviving Daemons may not be happy about their relocation.