My experience is only with Flash and I'm afraid I have not kept up to date. The last time I tried this I was vaguely remember having a problem with Flash where it would slowly eat memory until eventually the OS locked up. That was a couple of years ago and maybe it wasn't due to Flash.
Are there issues with using Flash or Silverlight for kiosk type applications?
How would they be set up? Would using FireFox in "kiosk" mode hosting the Flash/Silverlight app in a web page be good enough?
edit:
To answer a question about the type of application. This app would have limited interactivity. It would have a menu and users can click on the menu to view different content that consists of text, images and video. It would probably have transitional animation. I'm not sure yet if the kiosk is supposed to be a touch screen type of kiosk.