I've no idea how I thought you were a Cleric but anyways...
All the necklaces are used to give resistance to the debuffs (ie. poison, illness, and curse). Besides those that you've mentioned I don't think there are anything else? Maybe the green items... ones with Thunder usually has a higher critical rate. But it's rare... you usually see the solar eclipse kind. I've once gotten a Thunder sth crossbow from the Mara KQ so you can try your luck once they do that patch to fix the empty chest bug.
