I was watching a marathon of Keisatsu 24 Hours (Japanese version of "COPS") and they showed a car chase with a stolen R33 GT-R.
The fun starts at 2:13
R33 Police Chase
Just a side note. Japanese TV blurs out certain buildings and roads, so nothing is wrong with your computer.
For a bonus, at 8:13 they catch a guy putting stolen license plates on a Y33 Cima. When the police show up, the dude ditches his friend.
Turns out the guy is a chinpira (low level yakuza).