Only a handful of supernovae can be studied with milliarcsecond resolution using the VLBI technique. However, such rare studies have permitted in various cases to estimate expansion decelerations and to obtain information on supernova ejecta and circumstellar media, as well as on the structure of the emitting region. We review results on high resolution observations of the nearby radio supernovae: SN 1979C, SN 1986J, SN 1987A, and SN 1993J. For completeness, we also review the results on the supernova remnants in M 82.