Are the meats highly seasoned with chipotle, chili powder, etc.? If so, make chili.
If the seasoning aren't too strong, use the ground beef to make a lazy ragu with canned tomatoes, garlic, evoo, onion, Parm and have pasta.
Shredded chicken is good in pasta with a lazy man's white sauce -- a bit of the pasta cooking water and Parmesan -- and sauteed veggies.
Or make curried chicken salad.