What motor is this (movie)?
The small fan is almost certainly a shaded pole motor - you can just see through the blades that the motor body is not round, and has cooling vents off to one side, due to the single coil construction.



These motors are exceedingly cheap, but don't have brushes to wear out like a universal(5) and deposit black dust on the blades, so are a good choice for low cost machines, despite their inefficiency.

Like all induction machines, they tend to run near the synchronous speed of the frequency of the supply to them, less an amount dependent on the load, known as slip. If you try to speed control an unloaded motor by varying the applied voltage, through amplitude or chopping, the speed variation will be minimal, but it takes only a small load to give a decent variation in speed, and these fans obviously do have that load.

The second fan looks like it'll have a cylindrical multipole motor, which could be either a permanent split capacitor (3) or a shaded pole.