Trump's tape recording that's making the rounds today, was recorded on last Saturday [yesterday].
Other presidential tape recording history :
Watergate scandal. The then president of the 70s made secret tape recordings of his opponent candidate leading to outrage when that was discovered.
Recent one. Trump at that time was seeking candidacy for the election along with many others, but his probabilities were very low. CIA informed Obama, who was then president, that CIA fears Trump might be communicating with Russia. Obama instead of charging Trump right then, rather kept silent and changed US laws to allow eavesdropping and recording of Trumps conversations. And keep those evidences for the next president to take care -- whoever he might be.
Obama then thought Trump would never be president. But surprisingly Trump won the election to become the president. Those recordings went no where.
Now apparently some form of presidential recordings are still running somewhere. Trump has 2 weeks to do anything unless he can come up with a surprising "something" and continues his presidency for 4 more years.