Not cheap, but you could get something like this or make it yourself
Teak Dish & Cup Holder
I highly recommend Melamine Dinnerware, its really not that expensive IMO for what you get, great quality, non skid bottom, and looks nice on the boat
BTW, They ship fast, I ordered mine in they were here in less than 48 hrs!
Galleyware - Galley - Nautical Dinnerware - Melamine - Galleyware Company