what we have except for Brushed DC motors?

1. Reluctance motor:

A synchronous‐inductionmotor. The rotor has salient poles and a cage so that it starts like an induction motor, and runs like a synchronous motor.

2. Hysteresis motor: hysteresis produces the torque, can be very tiny, used as the driver for electric clocks.

4. Brushless DC motor: a close cousin of a permanent magnet stepper motor with electronic controllers.