  We study mass-imbalanced two-component Fermi mixtures, where one of the
components consists of dipolar fermions. We specifically study the mass
imbalances corresponding to the atomic ${}^{163}$Dy-${}^{40}$K and
${}^{53}$Cr-${}^{6}$Li mixtures. We study the onset of the $s$-wave superfluid
phase, as a function of population imbalance and the dipolar interaction
strength. We find the critical temperature and the Fermi surface deformations
at the transition to depend on the dipolar interaction strength, where the
critical temperature increases (decreases) with dipolar interaction strength
for a majority (minority) of dipolar atoms. We present momentum distributions
of both components where the Fermi surface deformations are visible.
