David Letterman has been on television for over 30 years now, but did you know that he is obsessed with drums? No matter how much Letterman you've watched in your life, I be you didn't take notice of his fascination with visiting bands' drum sets. Most talk show hosts will greet the lead singer first after a band has played. Not Letterman. He heads over to the drummer straight off and asks if those are in fact "your drums."