You could probably use normal slow cooker recipes and just cook it on the stove in a big pot with a lid (might need to add a bit more liquid to it though). The best cuts for casseroles etc to get really tender meat are the cheaper cuts- like chuck steak, just don't trim too much of the fat off. Chicken drumsticks/wings are also nice when cooked in a sauce as the meat just falls off the bone, same with lamb shanks, although they are getting a little expensive these days (to think we used to just give them to the dogs!! Lol).

What about a minestrone-type soup with cubed meat in it?