A standard scenario of evolution of supernova remnants (SNRs) without pulsar wind nebulae predicts shell-like morphology in non-thermal radio and thermal X-rays emitted from under-ionized or ionization equilibrium plasmas. However, radiative recombination X-rays, which are direct evidence of over-ionized plasmas, have been detected from 7 Galactic SNRs recently. All of these SNRs are categorized into mixed-morphology SNRs (MM SNRs) that exhibit center-filled thermal X-ray morphology. In addition, all the SNRs are detected in GeV/TeV gamma-rays and interact with molecular clouds/H I gas associated with star forming regions. Such interactions suggest that progenitors of the SNRs are massive stars. As a model of MM SNR of the over-ionized states, we carry out 3D-hydrodynamical calculations for the interactions of expanding supernova ejecta with the dense circumstellar matter and the rarefied interstellar medium (ISM) outside. The circumstellar matter is assumed to be composed of the stellar wind matter blown out by the progenitor with a realistic anisotropy. After the blast wave of the SNR breaks out of the circumstellar matter into ISM, the shocked ejecta rapidly cool due to adiabatic expansion and hence become the over-ionized state. The ejecta are dominated in the X-ray emission measure. On the other hand, the blast-shocked ISM shell is faint in X-rays due to low density but is dominated in radio. Thus the SNR of the over-ionized plasmas exhibits center-filled various morphology depending on the viewing angle in X-rays within the radio shell. The shell emits gamma-rays of luminosity of about 1e33 erg/s, which is lower than typical value of 1e35-1e36 erg/s observed from MM SNRs. However, if 10% of accelerated protons interact with dense external matter of density of 100/cc, the pion-decay gamma-ray luminosity would be enhanced to be comparable to observed values.