In this keynote session, I will explain the unique characteristics of healthcare that make it a challenging but extremely promising domain in which to apply AutoML. I will give an overview of several novel approaches we has developed to tackle problems as complex and diverse as AutoML for survival analysis, causal inference, and dynamic forecasting from time-series data. I will also highlight medical AutoML frameworks used in real-world contexts, including predictive tools deployed in response to the COVID-19 pandemic.