Having done a little more research on this, 1/p Halley is the only short period comet that is visible without some form of optical aid. So while there are a lot of known SPC’s, all the others would require at least Binoculars if not a telescope to see. Actually for a Comet a 7×50 Binocular will be better then a telescope most of the time.
That being said Bright Comets seem to show up about once every 5-10 years or so. But those are generally long period comets that we only know about when someone spots them as they head into the solar system.