The Chern-Ricci flow is one of several proposed generalisations of the Kahler-Ricci flow in the Hermitian setting. The aim of this talk is twofold. We first outline the behaviour of the Chern-Ricci flow on complex minimal surfaces. Then, motivated by several results on minimal surfaces, we show that the curvature type is independent of the starting metric in its 'class' for long-time solutions.  This demonstrates a curvature type independence result that holds for the Kahler case.