This game starts off with a very cool theme: a ghost of a hard-ass delinquent-turned-detective that has to solve his own murder. It borrows themes heavily from several well-known movies such as Ghost (possessing people/solving your own murder/unfinished business) and Beetlejuice (certain places you can't go/weird girl can see and hear you). You gain the ability to teleport, possess and control cats, and you learn a lot about the Salem Witch trials, all while tracking a guy on a killing spree that leaves a cryptic symbol of a bell.
While this game has a lot of cool elements, it is lacking in a lot of areas as well. For instance, it's one of those games where the only way something has an effect is if it is supposed to in the story. Case in point: you have a power called Poltergeist where you activate something/make a phone ring/blow papers around, etc, something that gets the attention of the living. It only has an effect on people if it's supposed to to advance the story. If you just do it randomly, everyone ignores it even if you do it 3 inches from them. Also, this game is strictly investigation and collectibles. There are no boss fights at all.
If you want a game with a cool theme that you can beat in about 10 hours and get a platinum trophy on collectibles, check this out. It's usually on PSN for about $3. Well worth it.
Important note: If you're going for the platinim, i.e. Collecting everything, you must get everything out of the museum the FIRST time you get to go there. Once you go to the final area, the game locks you there. This is NOT a game you can beat the story on and then go back and get missing collectibles.