@Zerytle you just said she drops the weapons but then you said she only drops the capes? [/quote]
Oops, I guess that was poorly worded, lemme try again
The instructors drop the equips (hat, overall, glove, boots), but only Empress drops the weaps. In addition, I'm pretty sure that only the empress drops the recipe to make the cape.
So in recap,
Instructors - hat, overall, glove, boot
Cygnus - weapon, cape.
EDIT: Thanks darkmonkey13! Just looking it up on hidden street lol. The KoC spirits drop the cape recipe as well, but until whatever next super boss comes out, Cygnus is currently the only dropper of the weapons themselves (which are pretty amazing iirc).