Toyota's Delivery Robot is designed to be a flexible home robotic helper. The prototype bot can retrieve different items for people with mobility problems, open doors, take out trash, bring food and so on.
The Toyota Delivery Robot uses a range finder and object filter to generate maps and determine its position; it can do real-time navigation within homes. As you can see in the video below, it can avoid objects and people, and allows some degree of interference from outside forces.
Take a look at this Toyota Delivery Robot video; note the side screen that shows the computer figuring its path.
(Toyota Delivery Robot video)
Fans of Robert Heinlein probably remember flexible Frank, which was intended to do "any work a human being does around a house." Well, maybe any work that a one-armed human being can do around the house...
Update 03-Jan-2022: Just added the one-armed home robot depicted in Michael Crichton's 1985 movie Runaway:
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't came out into plain view. Darkington glimpsed a slim body and six short legs of articulated dull metal.'
Origin F1 Humanoid Robot's Facial Skin
'I could look down at that face of carefully molded synthetic rubber, tinted the exact shade of the doctor's living flesh.' - Rog Philips, 1950.
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Boy Makes Biomimetic Turtle Robot
't came out into plain view. Darkington glimpsed a slim body and six short legs of articulated dull metal.'
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'Internally it’s made up of millions of components, but the most important ones are the thinking and memory parts of the Mind proper.'
Origin F1 Humanoid Robot's Facial Skin
'I could look down at that face of carefully molded synthetic rubber, tinted the exact shade of the doctor's living flesh.'