  Context. Magnetized plasmas characterized by shearing flows are present in
many natural contexts, such as the Earth's magnetopause and the solar wind. The
collisionless nature of involved plasmas requires a kinetic description. When
the width of the shear layer is of the order of ion scales, the Hybrid
Vlasov-Maxwell approach can be adopted. Aims. The aim of the paper is to derive
explicit forms for stationary configurations of magnetized plasmas with planar
shearing flows,within the Hybrid Vlasov-Maxwell description. Two configurations
are considered: the first with a uniform magnetic field obliquely directed with
respect to the bulk velocity; and the second with a uniform-magnitude
variable-direction magnetic field. Methods. Stationary ion distribution
functions are obtained by combining single-particle constant of motions, which
are derived studying particle dynamics. Preliminary information about the form
of the distribution functions are analytically derived considering a local
approximation for the background electromagnetic field. Then, a numerical
method is set up to obtain a solution for general profiles. Results. The
explicit distribution functions that are found allow to obtain profiles of
density, bulk velocity, temperature and heat flux. Anisotropy and agyrotropy in
the distribution function are also evaluated. Stationarity of the solution
during numerical simulations is checked in the uniform oblique magnetic field
case. Conclusions. The considered configurations can be used as models for the
Earth's magnetopause in simulations of the Kelvin-Helmholtz instability.
