Orthodontic bracket assemblies with torque-adjusting drums. The drum defines at least a majority of the archwire slot of the corresponding bracket assembly, and the drum may be selectively rotated about its longitudinal axis to adjust the prescriptive force that is applied to a patient's tooth during orthodontic use of the bracket assembly. The bracket assembly includes a positioning assembly that selectively retains the drum in a selected orientation relative to the base of the bracket assembly, thereby defining a prescription to be imparted by the bracket assembly to a patient's tooth. In some embodiments, the bracket assembly includes a biasing mechanism that selectively urges the positioning assembly to a position in which the drum is, or is not, retained in a selected position. In some embodiments, the bracket includes a release mechanism that selectively disengages the positioning assembly to permit adjustment of the drum.