Our most indispensable appliance would have to be the washing machine (with our 3 perpetually-dirty little boys). Without the dryer there is always the clothes line. Without the microwave there is the stove (and vice versa). Without the fridge there are always ice bags and coolers (we did that for 2 weeks once–it is a pain but manageable; we moved & I ordered a new fridge on the internet and it took longer than I expected to arrive). When we go camping every summer, my wife finds a way to use a washing machine somewhere after a few days (we don’t use any other appliances while camping).