Don't know if this one was listed yet:
Con: Usually only one shot at an animal (except a dumb one)
Pro: Usually only one shot at an animal - so you have to be patient and make it count.
Con: If hunting with a flinter in a snow storm you might get a misfire if your powder gets wet
Pro: If you get a misfire you dont have to clean, drag and process the animal (but had all the fun trying)