Well technically, we are never told his name isn't Frankenstein. In the novel, his name is never mentioned (although he jokingly refers to himself as 'Adam').
So his name could be anything - Sam, Joe, Fred, Gertrude, Fluffy, etc. It could even be Frankenstein. We're not told...
From what I've read elsewhere (I don't own these sets), the blu-rays are identical to the prior blu-rays.
I believe the Phantom Of The Opera '43 is a new restoration, with a new recombination of the Technicolor elements.
I am not sure if the others are new restorations, or just new remasters...