We use updated Type Ia Pantheon+ supernova, baryon acoustic oscillation, and Hubble parameter (now also accounting for correlations) data, as well as new reverberation-measured C iv quasar data, and quasar angular size, H ii starburst galaxy, reverberation-measured Mg ii quasar, and Amaticorrelated gamma-ray burst data to constrain cosmological parameters. We show that these data sets result in mutually consistent constraints and jointly use them to constrain cosmological parameters in six different spatially-flat and non-flat cosmological models. Our analysis provides summary modelindependent determinations of two key cosmological parameters: the Hubble constant, H0 = 69.8 ± 1.3 km s −1 Mpc −1 , and the current non-relativistic matter density parameter, Ωm0 = 0.288 ± 0.017. Our summary error bars are 2.4 and 2.3 times those obtained using the flat ΛCDM model and Planck TT,TE,EE+lowE+lensing cosmic microwave background (CMB) anisotropy data. Our H0 value is very consistent with that from the local expansion rate based on the Tip of the Red Giant Branch data, is 2σ lower than that from the local expansion rate based on Type Ia supernova and Cepheid data, and is 2σ higher than that in the flat ΛCDM model based on Planck TT,TE,EE+lowE+lensing CMB data. Our data compilation shows at most mild evidence for non-flat spatial hypersurfaces, but more significant evidence for dark energy dynamics, 2σ or larger in the spatially-flat dynamical dark energy models we study.