1. Cook a tri-tip or round roast at low for several hours. For BBQ beef, use your favorite BBQ sauce (Home-made is better than bottled!). For machaca or shredded beef for Hispanic food, use your favorite salsa (again, a home-made is better than bottled, some onions and maybe a few sliced peppers of your choice. Cook several hours, cool and shred. Save the "juice". Makes taquitos, enchiladas, tacos, etc. For chile verde, use a pork roast or tenderloin, and a green enchilada sauce. Add onions and peppers. Use a red sauce, cook overnight and shred for carnitas.
2. We buy several corned beef briskets the day after St Paddy's Day and freeze them. Take one, cook on low with a can of chicken broth. Cool and slice or shred. One brisket will get us corned beef sandwiches, Reubens and a night of hash (3 meals for 2).
3. Almost forgot, cook pork in with a BBQ sauce for pulled pork.
I suppose you could make shredded chicken much the same way as above.