  Within the factorization-assisted topological-amplitude approach, we study
the two-body charmed $B$ meson decays $B_{u,d,s} \to D^{(*)}M$, with $M$
denoting a light pseudoscalar (or vector) meson. The meson decay constants and
transition form factors are factorized out from the hadronic matrix element of
topological diagrams. Therefore the effect of SU(3) symmetry breaking is
retained, which is different from the conventional topological diagram
approach. The number of free nonperturbative parameters to be fitted from
experimental data is also much less. Only four universal nonperturbative
parameters $\chi^C$, $\phi^C$, $\chi^E$ and $\phi^E$ are introduced to describe
the contribution of the color suppressed tree and $W$-exchanged diagrams for
all the decay channels. With the fitted parameters from 31 decay modes induced
by $b\to c$ transition, we then predict the branching fractions of 120 decay
modes induced by both $b\to c$ and $b\to u$ transitions. Our results are well
consistent with the measured data or to be tested in the LHCb and Belle-II
experiments in the future. Besides, the SU(3) symmetry breaking, isospin
violation and $CP$ asymmetry are also investigated.
