I would recommend reading Masamune Shirow's original work (it's only 2 volumes!), as you could argue that the adaptations are merely shells of the original.
On the one hand, the Mamoru Oshii movie version is a 'best of' the cool moments from the original, but it bends the narrative very strongly to express Oshii's POV rather than Shirow's. It's not as bad as in people modernizing Tolkien for example, it's more in line with how Kubrick's version of "A Clockwork Orange" differs from Anthony Burgess' original (which I also recommmend reading). On the other hand, the SAC (Stand Alone Complex) series more closely match Shirow's POV and ambience, it's not as deep, but it's really an impressive feat considering it's all original scenarii, and how entertaining it is.