If something gave audiences thrills and chills once, why wouldn't it scare the beejesus out of them again?
Occasionally, a horror-movie series can produce a sequel, threequel, or prequel that mines excited new territory, pushes its mythology to bold new places and, on rare occasions, be equal or superior to the original. Just because Freddy, Jason, Godzilla, or your run-of-the-mill xenomorph has a movie or two under their respective belts also doesn't mean that there aren't more horny teens to stab, razor-sharp puns to be delivered and genuine oh-my-god shocks to be had.
These were the Part II's and beyond that kept the fun and the scares going.