The genetics of aging has seen extraordinary progress over the last few decades, with animal models suggesting key roles for a number of metabolic pathways. However, humans outlive laboratory models many times over, and only evidence from humans can ultimately identify the drivers of human aging. In this article we thematically review progress in identifying human genetic variants associated with longevity. We also look at the bigger picture of progress in identifying genetic associates of disease and functioning and healthy aging in older people. Although much of the existing evidence is fragmentary, recent exciting findings and robust methods are taking the field rapidly forward.