Well,
Evil Dead I, II and III are cult classics. The 2nd and third especially have lotsa gore and comdey. I heard of one called The Grudge, which is originally japanese and it's being remade with some of the original cast with some american stars.
The Ring is all about atmosphere not action, it's best to watch it alone, it's also orginally japanese and was called Ringu (has 3 parts). If you can find Audition, I've never seen it, but I heard if you watch without knowing anything about it you will have quite an experience. These are all pretty good, you should enjoy them, of course unless you think Scream is a good horror flick ;)
Btw, go to www.amazon.com and search for one of these and then choose the listmanias which appear on the right side (you will see lists of good horror movies).

Hope this helped.