For the purposes of the MDDB, reincarnation is where a character is brought back to life in a substantially different form
or with a substantially different personality. From a writer's point of view, the character will be pretty much a new one, albeit with optional baggage from its previous life.
A good example is Jack Napier from Batman (why hasn't this been added yet?!). His new life as the Joker is definitely not resurrection, he is a markedly different entity.
I would say Murphy from Robocop is unusual, in that at the beginning of the film, he has been reincarnated (he has very few memories) but by the end his old persona is coming back. I would therefore have no problem with both reincarnation and resurrection being applied in his case. Note that I don't think his form as a "robocop" is substantially different enough to qualify as reincarnation alone though, it is the personality change that swings it for me.
Anakin Skywalker isn't a clear cut case, it all depends on how much you think he has slipped towards the dark side before becoming Vader. As I tend to try and separate the prequel trilogy from my beloved episodes 4,5 and 6 though, I would lean towards reincarnation. In my mind, the sulky, petulant Anakin is a completely different entity to Sith Lord Vader. At least I admit I'm biased though!
More seriously, Vader in the superior trilogy never shows an iota of emotion until he is dying, whereas Anakin was extremely hormonal. Even without bias I think they are different characters.
OB