Attack from the 3rd dimension might be right about putting slashers last. I figured those would be where the most interest would be so I bumped them up the list, but they be more intense and they are, by definition, not low on violence. That said, the ones I mentioned are quite good. Others like Prom Night or Black Christmas are, well, less good, but also fun.
Check with your Dad, and maybe start with the Evil Dead or other funnier movies first. Horror is a fun genre, but it’s probably best to ease into it.
FYI I suggested skipping Evil Dead the original because it is more graphic and less funny, but I like the movie. You have to have seen Evil Dead 2 to get Army of Darkness, but you don’t lose as much by skipping Evil Dead.
Peter Jackson’s movie The Frighteners (with Michael J Fox) is also a good lighter supernatural horror. And Sam Rami’s Drag Me to Hell which came out not too long ago, is not high on violence and is pretty entertaining. Particularly if you look at it as an allegory about eating disorders.