Silent Hill is a masterclass of survival horror, there are few things like it. Maybe check out Silent Hill: Shattered Memories (preferably the Wii version). It's a reimagination of the first entry, but instead of fights there are chase scenes.I'm looking for games like Silent Hill, but without the combat. I watched Super Best Friends play through Silent Hill 2 & 3, and I found the puzzles, exploration, and the dark story very interesting, but the combat seemed mundane and repetitive. Any platform will do, even mobile. Any suggestions?
Maybe try Amnesia: The Dark Descent. It's exploration based horror, there's no combat but enemies that you have to run away from. It's a different kind of horror though. Less psychological, but more on the gothic horror side. Oh and it's first person and super fucking scary. Haven't tried the other games of the same developer (Amnesia: A Machine for Pigs and Soma), heard mixed things about the first, and great about the latter.
Another recommendation is Fatal Frame 2 / Project Zero 2. In terms of gameplay it's very similar to Silent Hill. This time it's a ghost story that resolves around strange cults and human sacrifice. You have to fight with a camera and put the ghosts on film (like spirit photography). Usually it's third person, for the combat you switch to first person. I found the combat to be more enjoyable than in Silent Hill, since it's combo based and much more reliable on timing. But there are still plenty of puzzles, exploration and creepy and sad side stories. Don't know about the other entries, but from what i've heard the second is the pinnacle of the series.