The Gauss curvature flow was introduced by Firey in 1970s. Much attention has been attracted the convergence and asymptotic behavior of the flow. We discuss some recent results related to the Gauss curvature type flows where entropy functionals played crucial role. The effective entropy method opens a way to study a wide class of Gauss curvature type flows in Euclidean space, and space forms in general. We will explain how the monotonicity and almost monotonicity of the associated entropies provide non-collapsing estimates, and the control of entropy points yields convergence. We will also discuss relationship between anisotropy Gauss curvature type flow and $L$^p-Minkowski problem, and some open problems.