The institutions that are least likely to provide equal access are those in which money is a key to success.  This means that such institutions as criminal justice, medical care, and the political realm are not likely to provide equal access.  In such institutions, people with money do better.  They can afford good lawyers or they can afford the best doctors.  They can give the sorts of donations that are needed in order to get access to the political leaders.  In other types of institutions, money is not a benefit.  In such institutions (like churches, for example) even those who have no money or social status can be welcome.