In the past, I'd say in Windows Update, click on details and uncheck the Microsoft Basic Display Driver, then right click the update and choose Hide Update. That would knock it out until the next time Microsoft revises the driver and pushes it under a new KB Article Number to make it reappear as a new download. Under Windows 10, that's not possible.
Press Start and type "Device Manager". In Device Manager, right click on your video card, go to Properties, then the Driver tab and "Update Driver". Pick "Browse my computer for driver software", then "Let me pick from a list of available drivers on my computer" and see if Windows 10 replaced the old drivers with the Basic Display Driver or not. If it hasn't, re-select your good one and click Next to bring it back.
If the Microsoft Basic Display Driver is the only option, I'd download the driver you know that works from your manufacturer and reinstall it that way. Unfortunately, you'd have to reinstall it every time Microsoft gets a hair up its behind and replaces it again.