In the US, the Xbox 360 and PS3 versions of this game are identical. In Japan, however, the two versions are slightly different. The Japanese Xbox 360 version is called "Nier Gestaldt", and is pretty much identical to the US version.
The Japanese PS3 version is called "Nier Replicant", and has identical gameplay, and an identical plot with a couple of important differences: Instead of the badass dude above, the protagonist of the Japanese PS3 version looks like this, and instead of questing to save his daughter he's trying to save his "little sister". Also, the barely-dressed woman is a hermaphrodite.
Neogaf provides this handy flowchart to help you decide which version is right for you.
I'll let you draw your own conclusions.