This time a police series that actually was never broadcasted on television: Special Criminal Investigation (1989) was a game by Taito and was the successor of Chase HQ and succeeded by Chase HQ 2 (2006). The game itself was much inspired upon the infamous Abunai Deka car chases and featured two cops chasing criminals in a Nissan Fairlady Z Z31:
Taito S.C.I. Fairlady Z Z31 poster
I can still remember playing the English version in the arcade halls back in the early nineties!
In case you are curious where the chases are, well here is a (two part) walkthough:
In other words: the heroes drive Japanese cars and the criminals drive foreign cars! :D
Found through: [R31 House @ Minkara]