It's been a while since I have watched The Omen, but "hokey" doesn't come to mind. I was quite young when I saw it the first time, and it scared me the crap out of me (again, haven't read the book). Damien was so creepy. The two scenes that got me the most were the kid trapped under the ice and the mom on the banister. The babysitter near the beginning also freaked me out. I have seen parts of the remake and wasn't too impressed, but it's probably because the first one was so familiar to me and that's where my memories lie.
I do have to give SOTL its due, though. It is a different kind of horror. I do consider it more of a mystery/thriller, but what a chilling figure we find in Hannibal Lecter.