It seems there's a whole spectrum from lifting houses to put a new first floor below them, to moving them a bit, to moving them several blocks in a city. (to big building projects too, historically)
I saw a house in progress being moved, 30 years ago. Great thing to take a kid to see!
It is done, albeit rarely due to how expensive and complex an operation it is. My friend's mother moved her house a few kilometers across some farmland. It was a rather large 2 story tall house, with a basement. It had to be moved to a plot that had a similar foundation and basement prepared for it.
Has relocating an old house even been done? (Assuming the house wasn't built to be movable.)