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Resonance phenomena are well-known in various areas of physics. Based on thescenario 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 $D^* \barD_2^*$ molecules, respectively, we predict the existence of charmonium-likemolecular resonances by utilizing the one-boson-exchange model and the complexscaling method. A conclusive finding is that the existence of deeply boundcharmonium-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 searchfor such molecular resonances predicted here, which will not only enrich theongoing construction of "Particle Zoo 2.0" but also provide a crucial hint toscrutinize the assignments of hadronic molecules to the $Y(4220)$, $Y(4360)$,and $\psi(4415)$ states.

Exploring Charmonium-like Molecular Resonances from Deeply Bound $D \bar D_1$, $D^* \bar D_1$, and $D^* \bar D_2^*$ Molecules