This document summarizes a presentation given at the European Research Conference on Housing First. It discusses the evidence that Housing First is effective at helping homeless people maintain housing, even those with complex issues like mental health or addiction problems. However, it notes that Housing First has more mixed results on helping people recover from those issues or achieve greater community integration and financial independence. It argues Housing First should aim for the highest possible integration tailored to individual goals, but that structural barriers like lack of affordable housing and discriminatory policies also need to change to fully address homelessness. The presentation raises questions about what supports are needed after housing is obtained to help address issues like social isolation, community participation, meaningful activities, and substance abuse issues.