I think that potential problem was one of the motivating factors behind granting permission to minor in different subjects a few years ago. It should make it easier for those who want the certification to gain it without having to satisfy as many prerequisites as a major. You seldom hear many complaints of being shut out of dance and music courses. The most popular ones are given every year and seem to lend themselves to large lectures or other participation in large numbers. The main culprit is Film which attracts adherents from all over the world for its high level of teaching and alumni networking. It is now possible to fulfill a minor in Film with only six courses. The only thing I can spot that could possibly be problematic is the production course which (as far as I can tell) is still limited to majors:
http://www.wesleyan.edu/filmstudies/minor/filmminor.html