Designed to use the freshly charged batteries in FIFO order. It is completely modular so you can create as long as possible by printing more than one ...middle items. To assemble the parts use an M4 threaded rod - I made holes for the hex nuts on the bottom parts.
Print each part except top - there are two different "top" parts - you need only one of them, so make your choice. I made a short screencast about the design process in case you are curious: http://fns.csokolade.hu/2014/04/17/3d-nyomtatas-tervezzunk-fifo-elemtartot-aa-meretu-akksiknak/
Update #20140617: I designed an additional top & bottom part for fixed screw mount.
Update #20150626: if you would need a standing FIFO battery dispenser or you have got up to 8-9 AA batteries to store then I recommend the v2 version: https://www.youmagine.com/designs/standing-fifo-aa-battery-dispenser