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Multidimensionality necessary for a successful explosion in theories of core-collapse supernova explosions has suggested that core-collapse supernovae are aspherical. Whereas, observations of nearby supernova remnants have also revealed aspherical natures independently. However, how the explosions are connected to their supernova remnants has been unclear due to the lack of multi-dimensional modeling of such a long-term evolution. Therefore, we are conducting a project to link the explosions to their supernova remnants via three-dimensional hydrodynamical simulations. It is expected that several important properties, such as ones on the explosion mechanism, the progenitor star, and the compact object, can be extracted by comparisons of the three-dimensional models with observations. In the talk, I review several interesting observations and the results of our recent works on SN 1987A and Cas A. An attempt to model the chemical reactions in the ejecta of SN 1987A is also introduced, which is motivated by the recent ALMA observations of molecules and dust.