A speed exceeded notification device is for a vehicle of a type including a vehicle data communications bus extending throughout the vehicle, and at least one vehicle device generating data related to vehicle speed on the vehicle data communications bus. The speed exceeded notification device may include a wireless communications device, and a controller to be coupled to the vehicle data communications bus. The controller may be for reading the data related to vehicle speed from the vehicle data communications bus, and determining when a vehicle speed exceeds a speed threshold for a first time period. The controller may also be for determining when the vehicle speed exceeds the speed threshold for a second time period less than the first time period and, in response thereto, generating a local vehicle speed exceeded notification. Based thereon, the controller may cooperate with the wireless communications device to send a remote vehicle speed exceeded notification.