  Next generation direct dark matter detection experiments are favorable
facilities to probe neutrino properties and light mediators beyond the Standard
Model. We explore the implications of the recent data reported by LUX-ZEPLIN
(LZ) and XENONnT collaborations on electromagnetic neutrino interactions and
neutrino generalized interactions (NGIs). We show that XENONnT places the most
stringent upper limits on the effective and transition neutrino magnetic moment
(of the order of few $\times 10^{-12}~\mu_B$) as well as stringent constraints
to neutrino millicharge (of the order of $\sim 10^{-13}~e$)--competitive to
LZ--and improved by about one order of magnitude in comparison to existing
constraints coming from Borexino and TEXONO. We furthermore explore the XENONnT
and LZ sensitivities to simplified models with light NGIs and find improved
constraints in comparison to those extracted from Borexino-Phase II data.
