Need Help With "Starter Horror Films" for My Kid

My 14-year-old daughter wants to share her dad's love for horror films (see previous Li.st), but isn't ready for The Shining, The Ring, Nightmare on Elm Street, etc. So not too horrific/violent but not too juvenile/comic. The first two were my recommendations. Can you add?
  1. The Lost Boys
  2. Fright Night (The Original)
  3. Buffy the Vampire Slayer (movie, not TV show) was amazing due to PeeWee's death scene in the end. That's about all the horror I can handle.
    Suggested by   @bluepuddles