Destination: Asakusa/Kappabashi Dori
But Asakusa has other great sites within walking distance, and a whole day or more can easily be spent there. A Taiko drum museum (I haven't visited yet) is a couple blocks from the temple. Also nearby is Hanayashiki, a small traditional amusement park. Rickshaws wait to carry tourists around town on an expensive yet memorable tour, and the area still mostly has an olden-days feel.
But a short walk from the temples across the river bring you to two more modern destinations.
If you consider yourself a chef, you'll want to walk down Kappabashi Dori. Prices are good and quality is high, because this is where the real chefs of Tokyo buy their supplies. And you can find some really great gadgets here that aren't carried in American stores.
For any cultural tourist, Asakusa is a must-visit for the shrines, the older feel of the neighborhood, and the tallest tourist destination in Japan, SkyTree. You can get there via several subway lines, but it isn't located on the Yamanote Line (which may be why it hasn't seen as much redevelopment). It's taken me at least three afternoon trips to see the temples, Kappabashi Dori, Nakamise, Hanayashiki, and to visit the Asahi Tower. And I'll be back again soon!