What is the significance of the times after the closing credits in Diddy Kong Racing 64?
These are the Developer's best recorded times...
Defeat Wizpig for the second time. After the ending and credits, a series of times will be listed. These times are the best times recorded (in Time Trial mode) by Nintendo and Rare staff during the production of the game.
There is nothing special (in-game) for beating these times.
Source: Gamespot Tips link to quote is from.