So this might not be coming to a museum near you in the intimidate future, but it is in Canada already, and seems like something that could benefit many museums. In conjunction with CHIN the McCord Museum of Canadian History in Montreal has created a 3D interactive, "touchless", exhibit which allows users to explore and manipulate the McCord collection without actually touching the objects. Using hand gestures, and without ever touching a screen users can turn, re-size, and explore various artifacts. This manipulation allows users to see details of objects that would not normally be visible while objects are on display. You can see how the program works here.
This innovative exhibit allows objects to be displayed that may be too fragile to be on display for a long period of time, allows increased detail to be examined, and when released as a Virtual Museum of Canada exhibit (Spring 2009) the exhibit will allow many more people to explore the Museum's collection in a unique way. Granted this type of exhibit is far out of the price range of most local museums, but despite this drawback the 3D exhibit has great educational and exhibit potential for those museums which can afford it.