  New superintegrable systems are presented which, like the Hydrogen atom,
possess a dynamical symmetry w.r.t. algebra o(4). One of them simulates a
neutral fermion with non-trivial dipole moment, interacting with the external
e.m. field. This system is presented in both non-relativistic and relativistic
formulations. Another recently discovered system (see arXiv:1208.2886v1) is
non-relativistic and includes the minimal and spin-orbit interaction with the
external electric field. It is shown that all the considered systems are shape
invariant. Applying this quality, these systems are integrated using the tools
of SUSY quantum mechanics.
