This is the easiest (though it is fatty) crock meal ever, and my DH can never get enough.
Salsa Verde Pork
2-3 lbs pork shoulder
1 large jar salsa verde (at least 24 oz)
1 bottle beer (optional)
If you skip the beer, a cup or 2 of water or chicken broth
Anything you like to eat with carnitas (tortillas, sour cream, cheese, tomato, avocado, beans, rice, cilantro, etc)
Add the pork, salsa, and beer(or water or broth) to crock pot and cook on high for 6 hours or low for 8-10. You can brown the meat before adding if you want. Or, you can toss in a huge hunk of frozen meat - I've done both and it's all good.
The meat is done when it shreds easily. It should be falling-apart tender. Carefully remove the pork and shred the meat - you can get rid of any remaining large bits of fat then. Serve the shredded pork with your favorite accompaniments.
ETA - I think chicken would work too. I might try a whole bird (or 2) cut into pieces.