There are no brands that should be avoided or favored as all manufacturers have the same legal responsibility to provide safe products and equip vehicles with a tire pressure monitoring system. Also, many brands, large and small, have had issues with defective products, so there are no absolute guarantees that by avoiding certain brands you are safer.
Tire manufacturers have the legal responsibility to provide their customers with reasonably safe products, according to the Federal Motor Vehicle Safety Standard. The majority of popular brands have issued safety recalls during the last couple of years, meaning they publicly admitted their products were defective.
In addition, tire manufacturers are required to notify the National Highway Transportation Safety Administration about any safety defects, to equip all vehicles with a tire pressure monitoring system and to run vehicle rollover testing programs. Unfortunately, these safety standards are not always met, resulting in tire defects and potentially fatal rollover accidents. Tire manufacturers often claim that damaging information contained in their records is trade secret and should not be disclosed.
Unfortunately, there is no certainty regarding any tire manufacturers. The best option is to regularly check your tires and be informed about recent recalls.