The band Television had a pretty short career, although they've since re-united and do some touring. But they pretty much came and went in a flash.
They had some outstanding songs, though. This one is my favorite:
See No Evil
I like the lyrics, the rhythm, and especially the guitar over that baseline.
I recently stuck Marquee Moon on my MP3 collection for the car and was struck by how sharp and new this song sounds even today. It's like a sharper Strokes song, a more killer Killers song - you can hear its influence decades and decades on.