An elliptically interfacing gearbox system may include an input plate having a rotation axis and a plurality of input teeth. The gearbox system may include a wobble plate having a wobble axis disposed at a non-zero angle relative to the rotation axis, a rear face, and a plurality of face teeth disposed on the rear face. The wobble plate may further include a first plurality of wobble teeth disposed in a first plane perpendicular to the wobble axis and a second plurality of wobble teeth disposed in a second plane perpendicular to the wobble axis. The second plane may be spaced from the first plane along the wobble axis. The gearbox system may include a stator gear having a plurality of stator teeth and an output plate having an output axis substantially aligned with the rotation axis and a plurality of output teeth. The plurality of input teeth may be configured to engage with the plurality of face teeth, the first plurality of wobble teeth may be configured to engage with the plurality of stator teeth, and the second plurality of wobble teeth may be configured to engage with the plurality of output teeth as the wobble plate nutates around the stator gear.