  Resonance phenomena are well-known in various areas of physics. Based on the
scenario of decoding the mysterious $Y(4220)$, $Y(4360)$, and $\psi(4415)$
states as the $S$-wave deeply bound $D \bar D_1$, $D^* \bar D_1$, and $D^* \bar
D_2^*$ molecules, respectively, we predict the existence of charmonium-like
molecular resonances by utilizing the one-boson-exchange model and the complex
scaling method. A conclusive finding is that the existence of deeply bound
charmonium-like molecules must indicate the existence of $S$-wave deeply bound
$C$-parity partners. While no radially excited $S$-wave resonances were found,
our results suggest the existence of $P$-wave $D \bar D_1$, $D^* \bar D_1$, and
$D^* \bar D_2^*$ molecular resonances. We expect future experiments to search
for such molecular resonances predicted here, which will not only enrich the
ongoing construction of "Particle Zoo 2.0" but also provide a crucial hint to
scrutinize the assignments of hadronic molecules to the $Y(4220)$, $Y(4360)$,
and $\psi(4415)$ states.
