If you stop on the last corner the seagulls will get closer to your car. If you drive the second lap in reverse the Statue will be standing on it's hands. If you stop completely near the statue you can make it spin by pressing the Start button repeatedly. When the game starts press the start button repeatedly to make the seagulls get larger.
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Hidden Music
Input the following codes:

H.O (to hear music from Hang-On)
V.R. (to hear music from Virtua Racing)
At the High-Score screen.