In the US, most rentals (except for very cheap ones) include a fridge/washer/dryer/dishwasher, but if you're buying the property, typically only the dishwasher is included unless you negotiate with the seller.
It varies on an individual sale level, any appliances can be included when selling a house, but other than built in ones (which refrigerators usually aren't) its hit or miss for new houses that aren't models, and for existing houses it really depends on the seller (owner occupied, they may want to take it with them, depending on the circumstances where they are moving, as it previously an equipped rental, then they’ll more likely offer to include all the major appliances, etc.)—and buyer (may prefer unwanted personal property be removed prior to move jn rather than included, if they want to buy something new that suits them or being their current unit.)
I haven't lived in that many places in the US, but everywhere I've lived -- rental or bought -- the refrigerator came with the house.
Ditto for the dishwasher, and clothes washer and dryer. The microwave, too, if it's a unit attached to the cabinetry, and not a freestanding on-counter model.
I suspect -- and didn't know this! -- that this arrangement is regional, even inside the US.
Odds are your realtor just negotiated those details for you. It is pretty standard everywhere. Very few people want to move those heavy things, so realtors just put them into the contract, if you don't pay attention (you should!) you may not even realize this happened.
When I bought my home, I know that was mentioned explicitly.
Though my understanding is the sale automatically includes all fixtures unless specifically excluded, and I suppose there's a little disconnect there: most major appliances are technically not fixed, but I think most people think of them like they are.
When I sell my home, I was thinking I'd definitely need to put a note on my washer/dryer and smart thermostat, saying I was going to take them with me and they weren't included.
