After I got my Z I looked for the same thing for fun haha
2 of the 'bosses' in Need For Speed: The Run drive 370z's. You can win them and take over hehe. It's pretty short but fun and copies are cheap now (like $30 used).
It's also in Need For Speed: Shift 2. But that's not as fun.
I think the 370z is in most if not all of the newer racing games. I'm a PS3 guy so that's what I get all of them on.
I 'upgraded' my 370z in the games. Spent over $20,000 so easily. But it's like 750hp now
I wish I rolled like that in real life lol