I think a semi-furnished would be the ideal situation, but as people have rightly said, furnished is harder to come by. We really just want the whiteware, a bed frame and a sofa, as I don't like the idea of having a clogged up house anyway!
In terms of what we're shipping across: nothing.
I still live with my parents, so at the moment am living out of my box room at home, and he's currently working abroad but won't be going home between now and NZ, so is living with far far less than I am. He'll take one suitcase - pretty much just clothes - and i'm going to take two (one clothes and one full of homely and useful things). Shipping my single bed and tiny wardrobe would probably cost more than the items cost, and be pointless!!!