Well, nearly every public speech from members of Congress and the executive office and the judicial branch is recorded, with some notable exceptions like national security, but even then, eventually that information enters the public record by law.

The problem is that much of it is difficult to collate. http://thomas.loc.gov/home/thomas.php is a good start for the Congressional record online, but presidential records and judicial records often end up all over the place.

Ideally the LOC would provide a better online toolkit for this stuff, but you know, good enough for government work.

At which point you could throw a redo of theirs (Black Mirror) on the wall when they contradict themselves.

I agree with this.