  We present the higher-dimensional generalization of anisotropic
(pseudo)spherical oscillator suggested recently in [arXiv:0710.5001], and the
related spherical and pseudosperical generalizations (MICZ-)Kepler like systems
with Stark term and $\cos\theta$ potential. We write down the potentials and
hidden symmetry generators of these systems, in terms of ambient Euclidean
space.
