When I moved back to Boston in 1997 I was so glad to be back, because I could follow all the great local bands the city offered. One of the bands who always had my attention, and I enjoyed seeing was Morphine. The band split after one of the two founders (Mark Sandman) suddenly died of a heart attack on stage; I believe in Italy if memory serves me correct. I've never heard another band quite like Morphine. The clip below is from one of their more commercially successful songs, "Early to Bed".
If you like what you hear - check them out on YouTube where many more videos of the band performing exist.