Yokohama Kaidashi Kikou

From MangaProject:
This is the story of Alpha Hasseno, an Alpha 7 M2 series robot. Left by her owner, she appears and acts fully human while running a small coffee shop named Cafe Alpha. It is a light-hearted story about the people Alpha comes into contact with behind the backdrop of a futuristic country-side in Japan. As we meet Alpha, she makes a shopping trip to Yokohama.

Note: Won the 2007 Seiun Award for Best Manga.