This paper presents an updated version of the Nijmegen soft-core potential, referred to as Nijm93, which significantly improves the fit to $np$ data compared to the older Nijm78 version. The $\chi^2$ per datum for Nijm93 is 1.87. The configuration-space and momentum-space versions of this potential are exactly equivalent, a unique feature among meson-theoretical potentials. Additionally, three new NN potential models are introduced: a non-local Reid-like Nijmegen potential (Nijm I), a local version (Nijm II), and an updated regularized version (Reid93) of the Reid soft-core potential. These three potentials all achieve a nearly optimal $\chi^2$ per datum and can be considered as alternative partial-wave analyses. All potentials include the proper charge-dependent one-pion-exchange tail. The paper discusses the general features of NN potentials, the explicit form of the potentials, and the fitting procedure. The results show that the new potentials provide a better description of the $NN$ scattering data compared to the older models, with Nijm I and Nijm II achieving a $\chi^2/N_{\text{data}}$ of 1.03. The paper also compares the potentials with the Nijmegen PWA93 and discusses their implications for systematic errors in the Nijmegen partial-wave analyses.This paper presents an updated version of the Nijmegen soft-core potential, referred to as Nijm93, which significantly improves the fit to $np$ data compared to the older Nijm78 version. The $\chi^2$ per datum for Nijm93 is 1.87. The configuration-space and momentum-space versions of this potential are exactly equivalent, a unique feature among meson-theoretical potentials. Additionally, three new NN potential models are introduced: a non-local Reid-like Nijmegen potential (Nijm I), a local version (Nijm II), and an updated regularized version (Reid93) of the Reid soft-core potential. These three potentials all achieve a nearly optimal $\chi^2$ per datum and can be considered as alternative partial-wave analyses. All potentials include the proper charge-dependent one-pion-exchange tail. The paper discusses the general features of NN potentials, the explicit form of the potentials, and the fitting procedure. The results show that the new potentials provide a better description of the $NN$ scattering data compared to the older models, with Nijm I and Nijm II achieving a $\chi^2/N_{\text{data}}$ of 1.03. The paper also compares the potentials with the Nijmegen PWA93 and discusses their implications for systematic errors in the Nijmegen partial-wave analyses.