Re: 'twas ever thus
In the US, typical sales contracts specify that "fixtures" will saty with the house - basically anything actually attached to the house.
So it is a no-no to remove light fixtures,btowel rods, curtain rods, etc.
Appliances aren't considered fixtures, but dish washers, fridges and stoves usually stay, but it's usually highlighted in the listing.
In our last two moves the dryer and washer weren't included, so ours went with us.