I enjoyed it the one time I went, but I would not go again unless they had some sort of special exhibit where they highlighted a person's career, e.g., Harold Prince, Richard Rogers, Angela Lansbury, Helen Hayes, etc.
There is disproportionate focus on more recent shows -- as I remember -- probably because it would be easier to get material to display. What about an exhibit on Life With Father, the longest running play ever, including replicas of the set (s), pictures from various productions around the world, etc.
I am 73 and most of what I saw in the museum was shows I have seen. What about historic shows that none of us have seen. Take more advantage of technology, to have interactive presentations on shows we know about, but not much.
Thinking about it, maybe there should not be Broadway Museum`...maybe there should be space provided in say, the Met, devoted to Broadway. It could also take advantage of all the technology available at the Met. Never going to happen, but probably the only was to do it 'right'.