Frankenstein Meets the Space Monster (1965)
Not really a Frankenstein movie at all, Frankenstein Meets the Space Monster is about a Martian invasion to capture Earth women to help repopulate the Red Planet. Thinking it's a retaliatory missile, the Martians shoot down a space probe containing a human-looking android named Frank Saunders. Frank is severely damaged and goes on a rampage of Puerto Rico before ultimately facing the Martians' radiation-scarred mutant-monster.
I've only tried to watch this thing once and failed to make it without a lot of fast-forwarding, but I don't remember Frank's even being called "Frankenstein" by another character in the movie. If he is, it's just a nickname based on his first name, his monstrous appearance, and his terrorizing humans. If not, it's an even lamer attempt to inappropriately use the name to steal some ticket sales. I do like Frank's Two-Face look though. It's an interesting, symbolic way to depict the man-monster.
Doctor Who: "Journey Into Terror" (1965)
"Journey Into Terror" is an episode in the longer, second season Doctor Who serial called The Chase. In that story, the Doctor and his companions are being pursued by Daleks who have developed their own time-travel device. As the Doctor tries to outrun the Daleks he stops in a variety of settings, including a haunted mansion inhabited by Dracula and the Frankenstein Monster. It's later revealed that the place is actually a futuristic (1996!) theme park and that the monsters are just robots. The episode used the Universal version of the Monster, but clothed him in mummy-wrapping.