  We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center
Calogero-Coulomb systems and construct their constants of motion via the Dunkl
operators. Their Schr\"odinger equations decouple in parabolic and elliptic
coordinates into the set of three differential equations like for the
Coulomb-Stark and two-center Coulomb problems. The Calogero term preserves the
energy levels, but changes their degrees of degeneracy.
