  By a systematic method we construct general classes of exact and
selfconsistent axisymmetric MHD solutions describing flows which originate at
the near environment of a central gravitating astrophysical object. The
unifying scheme contains two large groups of exact MHD outflow models, (I)
meridionally self-similar ones with spherical critical surfaces and (II)
radially self-similar models with conical critical surfaces. The classification
includes known polytropic models, such as the classical Park er model of a
stellar wind and the Blandford and Payne (1982) model of a disk-wind; it also
contains nonpolytropic models, such as those of winds/jets in Sauty and
Tsinganos (1994), Lima et al (1996) and Trussoni et al (1997). Besides the
unification of these known cases under a common scheme, several new classes
emerge and some are briefly analysed; they could be explored for a further
understanding of the physical properties of MHD outflows from various
magnetized and rotating astrophysical objects in stellar or galactic systems.
