Interaction of a flowing plasma, such as the solar wind, with a magnetic dipole has been investigated for decades mostly in the context of understanding the Earths magnetosphere. The fact that planetary magnetospheres as diverse in size as those of Mercury and Jupiter exhibit an earthlike global structure seemed to suggest that all dipolar magnetospheres have self-similar structures. Using global hybrid simulations (fluid electrons, kinetic ions), we have recently demonstrated that the interaction between the solar wind and magnetic dipoles of various strength lead to a spectrum of magnetospheric structures which vary by size and complexity. At one end of the spectrum, the interaction results in the formation of a whistler wake without modifying the plasma, while at the other end, an earthlike magnetosphere is formed. This occurs at magnetic dipole strengths close but below that of Mercury. After a brief review of our recent efforts in code development that have made such simulations possible, results from simulations at various dipole strengths will be presented and the spectrum of the resulting magnetospheric structures will be discussed. Implication of these results in regards to solar wind interaction with asteroids, comparative magnetospheres studies and understanding of geospace plasmas will then be reviewed. In particular, we will use the bow shock and magnetic reconnection process to illustrate the power of the simulations in addressing temporal and spatial scales associated with various magnetospheric regions and processes.