Beyond viscosity, look for an oil that meets or exceeds these specifications:
* API Certification: Look for an API certification symbol (a "donut" shape) on the oil container. For a 2003 vehicle, you'll likely want to aim for at least an SN rating, but newer ratings (SM, SN Plus, SP, etc.) are generally backward compatible and fine to use.
* ILSAC Certification: ILSAC (International Lubricant Standardization and Approval Committee) is another important certification for passenger car motor oils. This will also be indicated on the container.
Don't solely rely on online advice. The owner's manual is your primary source for the correct oil type for your specific 2003 Ford Taurus. Ignoring this could lead to engine damage.
If you can't locate your owner's manual, you can often find a digital copy online through Ford's website or a reputable parts website by searching for your vehicle's year, make, and model.