Methods of MHD stabilization of axisymmetric systems are considered, including: average min-B (both in the case when the anchor is a cell with min-B and in the version when a stabilizer with average min-B is employed); use of nonparaxial effects; wall stabilization. The problems arising within different approaches are analyzed. Combinations of these methods seem to be attractive. Peculiar features of MHD stability in a long system with slightly rippled magnetic field are discussed.