It is illegal to drive a car without windshield wipers, but you don't need a windshield.

The Law Explained

Texas vehicle inspection laws are incredibly specific about safety equipment to ensure safe driving in bad weather. The law mandates that every motor vehicle must be equipped with functioning windshield wipers to clear rain or debris. However, there is no explicit statute requiring the vehicle to actually have a windshield in the first place, creating a bizarre loophole for dune buggy enthusiasts.