  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 Amati-correlated
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 model-independent
determinations of two key cosmological parameters: the Hubble constant,
$H_0=69.8\pm1.3$ $\rm{km \ s^{-1} \ Mpc^{-1}}$, and the current
non-relativistic matter density parameter, $\Omega_{m0}=0.288\pm0.017$. Our
summary error bars are 2.4 and 2.3 times those obtained using the flat
$\Lambda$CDM model and Planck TT,TE,EE+lowE+lensing cosmic microwave background
(CMB) anisotropy data. Our $H_0$ value is very consistent with that from the
local expansion rate based on the Tip of the Red Giant Branch data, is
2$\sigma$ lower than that from the local expansion rate based on Type Ia
supernova and Cepheid data, and is 2$\sigma$ higher than that in the flat
$\Lambda$CDM 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, 2$\sigma$ or larger in the
spatially-flat dynamical dark energy models we study.
