For low draw LED lights, the ones with larger cases, I have successfully connected half a dozen mostly-dead AA cells in series (end to end) with aluminum foil and electrical tape. I just add as many as I need to get the needed output voltage. The key is to match their voltages fairly closely -- otherwise the weakest one will overheat and leak. (That's why a multimeter, even a cheap one, is IMO critical in any luggable kit for car, bug-in, or bug-out. Fix and improvise!)
Not sure how well it would work, but here's an interesting piece about using a solar garden light circuit to burn down half-dead alkalines:
http://www.motherearthnews.com/diy/get-p...r-zbcz1506.aspx