  We analyze the two-body charmed $B$ meson decays $B_{u,d,s} \to D^{(*)}P(V)$
in the factorization assisted topological amplitude approach, where $P(V)$
denoting a light pseudoscalar (vector) meson. Different from the conventional
topological diagram approach, flavor $SU(3)$ symmetry breaking effects are
taken into account. Therefore only four universal nonperturbative parameters
are introduced to describe the contribution from non-factorization diagrams for
all the decay channels. The number of free parameters and the $\chi^2$ per
degree of freedom are both significantly reduced comparing with the
conventional topological diagram approach. With the 4 fitted parameters, we
predict the branching fractions of 120 decay modes induced by both $b\to c$ and
$b\to u$ transitions, which are well consistent with the measured data or to be
tested on the future experiments. We also investigated the relative size of
different topological diagrams, isospin violation, flavor $SU(3)$ symmetry
breaking effects, compared with previous approaches.
