I recently found a new website that allows you to experience the Appolo 11 Mission in real time.  The John F. Kennedy Presidential Library and Museum provides the interactive website.   There is a ton of things to do.  Not only can you see the mission in real time, you can view pictures and videos from the event as well.

The only negative for the site I saw was the massive amount of load time.  Make sure your not on dial-up! : )

Check it out for yourself - We Choose The Moon