detached house; standalone house
Refers to a single, independent residential building, not attached to other houses. Often contrasted with apartments or row houses.
My dream is to buy a detached house in the suburbs.
This area has many standalone houses and is quiet.
isolated house; house in a remote location
Emphasizes that the house stands alone, often far from other buildings or in a secluded spot. Less common than the 'detached house' sense.
There was a solitary house standing alone in the mountains.