To provide a voice of REASON to a thread full of APOLOGISTS*, Shattered Memories is a god-awful Silent Hill game but an interesting survival horror game. Nothing will ever make up for its horrible "action" scenes, but if you can suffer through them there's still an interesting world to explore and interact with. It's definitely more alone the lines of a Gone Home type of experience, just not nearly as good. It's really meant to be played on a Wii, but with my weird love or PSP visuals, I liked what little I played of this version.
(* I still love you all.)
Origins is interesting. If you get past the "it's not Silent Hill 1/2/3" mentality, it isn't bad. It does some stupid things (weapon breaking) and some blasphemous things (letting you switch Silent Hill "layers" at will), but it also does some pretty interesting things. In terms if gameplay, it felt - to me - like the closest thing to a gameplay sequel to the original Silent Hill that we've ever gotten.
You also have to get past the part where it tells a story (the origins of the city) that was never meant to be told.
If I'm picking which I'd rather play, Origins or Homecoming, I'd probably say Origins. To be fair, though, it's been a while since I've played both. Given how stupid I am about partying money with Silent Hill games, though, I'll probably buy both of these to have in my Vita just because. (Though I really need to get around to finally getting Silent Hill Experience one of these days, if that's even possible for a decent price.)