  We conduct a comprehensive study on spherical orbits around two types of
black holes: Kerr-Newman black holes, which are charged, and Ghosh black holes,
which are nonsingular. In this work, we consider both null and timelike cases
of orbits. Utilizing the Mino formalism, all analytical solutions for the
geodesics governing these orbits can be obtained. It turns out that all
spherical photon orbits outside the black hole horizons are unstable. In the
extremal cases of both models, we obtain the {\it photon boomerangs}. The
existence of charge in the Kerr-Newman allows the orbits to transition between
retrograde and prograde motions, and its increase tends to force the orbits to
be more equatorial. On the other hand, the Ghosh black hole, characterized by a
regular core and a lack of horizons in certain conditions, presents the
possibility of observable stable spherical orbits in the so-called {\it
no-horizon} condition. As the Ghosh parameter $k$ increases, trajectories tend
to exhibit larger latitudinal oscillation amplitudes. We observe that as the
Ghosh parameter $k$ increases the trajectories tend to have larger latitudinal
oscillation amplitudes. Finally, we investigate the existence of {\it innermost
stable spherical orbits} (ISSOs). Both black holes demonstrate the appearance
of two branches of ISSO radii as a function of the Carter constant
$\mathcal{C}$. However, there are notable differences in their behavior: in the
case of the Kerr-Newman black hole, the branches merge at a critical value,
beyond which no ISSO exists, while for the Ghosh black hole, the transcendental
nature of the metric function causes the branches to become complex at some
finite distance.
