Is there any way to watch past sporting events in real time, the way they were originally broadcast?

Question

Let's say that you want to see a reply of the famous playoff game betwixt the Miami Dolphins and the Oakland Raiders that took place in 1974. It has been called the "waffle pass" game or the "Sea of Hands" game. What if you want to see this famous game as it was originally broadcast. Is there any where to go to see a recording of this, or any other famous, game?
And I don't just mean football. I would really love to see a doubles match when Jimmy Connors and Ilie Nastase were partners.

Answer 1

ESPN Classic shows old games all the time. NBATV plays old NBA games in their entirety also.