Were the appliances built-in? IRS Pub 523 includes built-in appliances as improvements that increase your basis. My interpretation of the reg is that that depreciation you took for those appliances (assuming they were built in and considered an improvement) will remain until you dispose of the house. At that time, you will need to figure out if you will be subject to recapture or not. If you do not sell the house and it passes on to your heirs, that accumulated depreciation MAY wash away (not sure if a transfer of a house after death grants a step up in basis to your heirs).
I hope this helps and doesn't confuse. The IRS regs aren't very good about answering specific questions.