This data publication contains the following selected sets of data: 1) hybrid equations of state (EoSs) obtained via Maxwell construction of a first-order phase transition from hadronic to quark matter (hadronic matter: DD2npY-T, quark matter: NJL-model -> parameters: vector coupling $\eta_V$ and diquark coupling $\eta_D$) 2) files containing outcomes from calculations of compact star configurations with the RNS-code (static configuration, rotation at Kepler frequency, rotation at constant frequency, rotation for fixed rest mass) 3) accretion model (magnetic field + mass accretion)