It was around the time of....

Out Run (Drive a Ferrari on a beach with your gf in the car),

Top Gun (Fly an F15/16 while shooting down enemy aircraft) ,

Street Fighter 2, (nuff said)

and Terminator (Where you use a toy gun to shoot pop up terminators etc a side scrolling game)
Thanks everyone! It was road blaster the cars have their own turrets lol

I wonder if its 2 player that would be cool!