We present branching fraction measurements of charged and neutral B decays to Dπ-, D*π-, and "D**"π- with a missing mass method, based on a sample of 231×106 Υ(4S)→BB̄ pairs collected by the BABAR detector at the PEP-II e+e- collider. One of the B mesons is fully reconstructed and the other one decays to a reconstructed charged π and a companion charmed meson identified by its recoil mass, inferred by kinematics. Here "D**" refers to the sum of all the nonstrange charm meson states with masses in the range 2.2-2.8GeV/c2. We measure the branching fractions: B(B-→D0π-)=(4.49±0.21±0.23) ×10-3, B(B-→D*0π-)=(5.13±0.22±0.28)×10- 3, B(B-→"D**0"π-)=(5.50±0.52±1.04) ×10-3, B(B̄0→D+π-)=(3.03±0.23±0.23)×10-3, B(B̄0→D*+π-)=(2.99±0.23±0.24)×10-3, B(B̄0→"D**+"π-)=(2.34±0.65±0. 88)×10-3, and their ratios. © 2006 The American Physical Society.