Home is an abstract term. It is any place where you live and you call it home, because you sleep there, you leave it, when you go to school or work, and you come back (go home) after school or work. Depending on where you live your home could be an apartment, a one family house, a dormitory or even the hotel room ("a home away from home"). You can also call home the place you were born, your home city, or even your home country.
House is a physical structure, generally quite small in comparison to many tall and big buildings, usually one family dwelling (domek jednorodzinny).
Żółty dom/ budynek/ wieżowiec - Yellow house/ building/ skyscraper