  In the present work we find novel Newtonian gravity models in three spacetime
dimensions. We first present a Maxwellian version of the extended Newtonian
gravity, which is obtained as the non-relativistic limit of a particular
$U(1)$-enlargement of an enhanced Maxwell Chern-Simons gravity. We show that
the extended Newtonian gravity appears as a particular sub-case. Then, the
introduction of a cosmological constant to the Maxwellian extended Newtonian
theory is also explored. To this purpose, we consider the non-relativistic
limit of an enlarged symmetry. An alternative method to obtain our results is
presented by applying the semigroup expansion method to the enhanced
Nappi-Witten algebra. The advantages of considering the Lie algebra expansion
procedure is also discussed.
