I think you'd like the ones that are about people more than those that are about monsters - though sometimes with King it's hard to tell them apart.
So you should read Under the Dome, which really is all about people and how monstrous they can be, and Dolores Claiborne. The Stand also fits into this section, as does The Girl Who Loved Tom Gordon
Then if you feel you can handle ghosts (but not gore) then you should read Duma Key, Bag of Bones and probably Insomnia. You might also like Rose Madder, though there are some scary depictions of domestic violence in there (very obvious where King stands on this though!)
Once you've survived this lot, I'd recommend The Dead Zone, Salem's Lot (vampires, but very very well done), the entire Dark Tower series, Lisey's Story and The Shining, Needful Things (which is a kind of morality tale)
everything else comes after. You'd be reading them out of order and might need to backtrack to keep up with the mythos King builds up (around the Dark Tower, the Beam and the Turtle) but by that time you'll be proper hooked anyway.
Ones to avoid (due to bad writing): The Tommyknockers, From a Buick 8, Dreamcatcher, Cujo.
Other people on here will disagree with me about aspects of the above, take what you will from it and enjoy your discovery of King.