Officers from North Yorkshire Police's roads policing group made the stops over the course of two night shifts.
The car seized was a Land Rover stopped in Scarborough which was shown as uninsured on the police's system.
Officers said the driver tried to show a valid policy but also had an email showing it had been cancelled.
They also arrested the driver of a white Fiesta headed out of Scarborough on suspicion of drink driving after he failed a roadside breath test.
And they followed a van along the A171 in Whitby which was straddling the central white lines and then overtook another vehicle by crossing a solid white line and approaching the brow of a hill.
Police stopped the vehicle and fined the driver.
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