5G has brought many system improvements to both the Radio Access Network and Core Network, with the shift towards a Service-Based Architecture for the Core Network as one of the most significant changes. This paper presents the argumentation for this architectural transformation in the Core Network, combined with the capabilities such change entails and a proposition towards the next steps for Service-Based Architectures towards Release 18 and beyond. Most notably, the domain of Private Networks and stronger inclusion of vertical requirements is the key driver for such continuous transformation, which were demonstrated as a live demo at an European conference and presented in this paper.