In this study, we introduce generalized osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 4-space E4. This study especially improves the theory of curves with respect to the osculating-type curves and gives the relationships between the special cases and general form related to the osculating-type curves. We examine some characterizations of the first kind and second kind osculating-type curves. Then, we obtain some correlations between curvatures and invariants of the generalized osculating-type curves, as well. The osculating curves with Frenet frame in E4 are one of the natural special cases for the generalized osculating-type curves with Myller configuration in E4 since the geometry of versor fields along a curve with Myller configuration in E4 is a generalization of the usual theory of curves in E4. Also, we give some new theorems that are not valid for osculating curves with Frenet frame in E4. Then, we give a numerical example with respect to the studied concept.