Ghost Trick is available on iOS. Get it. It's amazing.
EDIT: Huh, it seems like it isn't out for Android as well, after all. That sucks. Shame you don't have a DS, that system is a goldmine for point & click adventure games...
I love the genre too, btw.
Well, since PS3 is backwards compatible with PS1 games, here's some recommendations for that:
These are horror games too but definitely include the point and click mechanics and there's no real fighting, it's mainly investigations or in the latter of the two I mention here, it's basically run away from the beast and investigate the weird underground town, in both of them it's complete puzzles, navigate your way through areas and find items. That sort of thing. Both are first person, but you move your character freely.
Echo Night (US only) don't know if you could get a chipped PSX or play it on an emulator, it's up to you -
http://www.gamefaqs.com/ps/197206-echo-nightHellnight -
http://www.amazon.co.uk/Konami-Hellnigh ... 771&sr=8-1