I'm not a resident, but I love medical history so I've recently listened to a lot of Sawbones, which is produced by the Maximum Fun network. I think you can find it on itunes, but they also have a website. It's done by a doctor and her comedian husband and is pretty entertaining. It's not really targeted at doctors, so maybe not ideal. They cover different treatments, diseases, and historical characters. A lot of it focuses on quack doctors and weird ideas about health from the past, but they have also done Ebola and Measles recently.