Yokohama Kaidashi Kikou, also called "Record of a Yokohama Shopping Trip" or "Quiet Country Cafe" is a long running manga and OVA series featuring a future earth populated by a dying humanity.

Alpha, the main character, is a android taking cafe of her missing owner's cafe while also carrying on her day to day life. A quiet, thoughtful series, driven more by character than by plot.

Misago.org scanlations:
http://ykk.misago.org/Contents

The remaining Chapters:
http://www.cafealpha.org/