Dead Space trilogy and The Evil Within (Shinji Mikami) are very similar to RE. If you want more supernatural survival horror I highly recommend Alan Wake.
He wants games that are like the original Resident Evil's with the fixed camera angles. So Dead Space and Evil Within are no no's. Dead Space is literally an RE rip off banking on it's success and Evil Within while was entertaining and fun, was not really that good of a game. I was very disappointed as I expected much more from Shinji Mikami. Or perhaps that's why I was so underwhelmed.
As for Alan Wake. You absolutely need to play that
@BadWolf if you haven't already. That game is brilliant and was imho the best ORIGINAL survival Horror IP last gen, if not the last best one released. It's a game that any survival horror fan needs to play, it's not scary, but it's got all the fun and oddities. Condemned is a interesting one as well if you don't mind first person games.
As for other fixed camera angle games I'll list a few.
- Eternal Darkness: Sanity's Requiem (Some will argue you to death that this is the best pick)
- Parasite Eve (this is creepy and it's awesome)
-Clocktower (I haven't played these but I've hear people say they **** themselves from this game)
-Haunting Ground (Capcom game from 2005, main protagonist is literally Jill's face from RE5 slapped with Rebecca LOL)
- Onishima (Also Capcom. Keiji Inafune to be exact. It is more an action game but has some minor horror elements and retains those camera angles)
An honerable mention that is not a horror game nor that game play style. It is however, the most horrifying game that you will ever play in your life. Drakengard.... that ending is truly terrifying.