Most of the good ones are not appropriate for you.
Here are some good ones in my opinion:(you might have seen some of them) Scream Pet Sematary Candyman A nightmare on elm street(original) Demon knight 30 days of night Fright night(I've seen the new one) Jeepers creepers Wrong turn
When I was 13 I pretty much watched whatever I felt like. Though I wasn't allowed to watch The Exorcist or Silence of the Lambs but I did anyways. Parents can be finicky when it comes to what their children watch on TV. Unless they just don't care, mine did and they didn't. There really is no age when it comes to movies. Cause kids will watch whatever they want.
Most any of the older horror flicks. Psycho The Night of the Hunter The Haunting (original; remake sucks) House on Haunted colina (ditto) Carnival of Souls The Innocents The Birds Village of the Damned Dracula Frankenstein Cat People Freaks The Last Man on Earth Dead of Night and maybe Peeping Tom, depending on your parents
Those are all musts for any Horror fan, in my opinion, no matter the age. And there's minimal gore, nudity or language, which makes them good for younger audiences. They're scary without resorting to graphic stuff.
Some of these can get pretty intense for a 13 ano old so take precaution when watching these filmes :)
Alvin and the Chipmunks Meet Frankenstein Alvin and the Chipmunks Meet the lobo Man (this one is kind of intense so be careful) Beetlejuice The Little Vampire (again pretty intense but it's a good movie) Halloweentown Halloweentown 2: Kalabar's Revenge Halloweentown High Return to Halloweentown Twitches Twitches Too