Thanks to the Office of Recycling at the D.C. Department of Public Works I now have some answers. I have received a great new list of the items that you can bring to Household Hazardous Waste and Electronic Recycling. There you can recycle: CDs, DVDs, Video tapes, Audio Tapes, and batteries of all kinds. According to the website Rechargeable Battery Recycling Coalition , you can take rechargeable batteries and cell phones to Frager's (Capitol Hill) and the Radio Shack at L'Enfant.
However, as far as I know, there is no drop-off location on the Hill for regular batteries. VGDA is working with a Hill business to do this. Do you know of battery drop-off locations in other parts of DC?