Lately museums have been keen to attract broader audiences and they have increasingly been using popular culture to do this. Movies are an obvious source for audience development. Yes, there are movie museums but no specialist ones.
Here are a few suggestions with some suggested marketing slogans:
The Godfather Museum - A visit you can't refuse
The Terminator Museum - You'll be back
The Gone With the Wind Museum - You won't give a damn, but tomorrow is another day
The Psycho Museum - Take your mother
The Field of Dreams Museum - If they build it you'll come
The E.T. Museum - Make sure your family don't leave without you
The Wizard of Oz Museum - Visit here and you'll realise there's no place like home
The Taxi Driver Museum - You visitin'? 'Cos I see nobody else visitin'!
The Forty Year Old Virgin Museum - The longer you visit the harder it gets
The Knocked Up Museum - What if this visit got you pregnant?
The Office Space Museum - Visiting sucks
The Apollo 13 Museum - Houston we have a visitor