Asakusa feels like a place that has soul in it, The Senso-ji temple area with its small shops selling all the souvenirs you need to bring back to people at home. After the shops start to close you can move to one of the many Izakaya and have a meal and a drink there. You do not need to walk far from the shrine till the area changes back to modern tokyo, with bigger shopping malls, karaoke places and more modern style bars. Bit frather away from the Temple area there is also the Sumida river and sightseeing boats that you can take from there to see a bit of tokio through water ways.
A Tour of Asakusa (Old and New Japan)