Bow hunting is indeed illegal. Muzzle-loading shotguns are not, as some of the larger-bore fowling pieces used as punt guns are still muzzle-loaded.
Also the .22 is really only used for rabbits and squirrels. For foxes, the smallest calibre most forces will authorise is a .243. For deer in England and Wales, the commonest calibre is .270 (although the .243 will probably also soon be used for most species of deer, according to DEFRA). In Scotland you may legally shoot the smaller roe deer with a .222 round.
You can't shoot burglars with anything!