I have an accordion door to my guest bedroom. My house had an addition in the 1960's and there is no room for a traditional door to open either in or out. It works just fine and was a perfect solution to the available space. I imagine there are a variety of materials to choose from. Mine is a heavier plastic with a wood finish which matches the home's character.
If I had the patience to deal with a big construction project I'd open up the wall separating my kitchen to the dining area.