Over the past 15 years, significant strides have been made towards using large eddy simulations (LES) for predicting airfoil self-noise. However, they have largely been restricted to canonical configurations at low Reynolds numbers. We summarize the progress made towards extending the scope of LES-based predictions to full-scale Reynolds numbers and non-canonical configurations. First successful prediction of trailing edge noise from first principles at full-scale Reynolds numbers and noise generated by an airfoil in the near-stall regime is demonstrated. A novel, large-span calculation that predicts the flow past a wind turbine airfoil in the post-stall regime with unprecedented accuracy is presented. In agreement with a recent theoretical study, our simulation results indicate that the lower lift due to large-scale three dimensionality can be reproduced even in span-periodic calculations if the domain size is large enough to contain the 'stall cells'.