House is a physical object usually, like the place you live in... Home is what you consider to be "where you belong". Like this room is home to me, or America is my home. Or even, this soup tastes like home!
This is just my personal opinion. A house is a shelter, it protects us from the elements and provides a form of safety. A home is a safe haven where people live and love one another. We can all have a house but I'd rather have a home.