  Event detection rates for WIMP-nucleus interactions are calculated for
$^{71}$Ga, $^{73}$Ge, $^{75}$As and $^{127}$I (direct dark matter detectors).
The nuclear structure form factors, that are rather independent of the
underlying beyond the Standard Model particle physics scenario assumed, are
evaluated within the context of the deformed nuclear shell model (DSM) based on
Hartree-Fock nuclear states. Along with the previously published DSM results
for $^{73}$Ge, the neutrino-floor due to coherent elastic neutrino-nucleus
scattering (CE$\nu$NS), an important source of background to dark matter
searches, is extensively calculated. The impact of new contributions to
CE$\nu$NS due to neutrino magnetic moments and $Z^\prime$ mediators at direct
dark matter detection experiments is also examined and discussed. The results
show that the neutrino-floor constitutes a crucial source of background events
for multi-ton scale detectors with sub-keV capabilities.
