For a delicious and tender shredded beef, start by grilling or pan frying the entire beef shoulder to braise it. This will help seal in the juices and ensure your meat cooks more evenly. Next, boil the meat for 4 to 6 hours in a pot or a slow cooker until the meat is tender enough to be shredded with a fork. Once it has reached the desired tenderness, drain the excess water and shred the beef shoulder until all the meat is removed. Use it for delicious barbecue beef sandwiches by mixing equal parts ketchup and French dressing. Mix that with your shredded beef, heat, and serve a scoopful on a bun. You can also mix shredded beef with taco seasoning and water in a pan and serve it in tacos, burritos, enchiladas, or whatever Mexican entrée you like best.