I can probably name tens of games similar to this. For one, Need for Speed: The Run, which has police cars, the mafia and competitors trying to catch or kill you while you’re driving.
Viewing post in New Game Idea
The Matrix Awakens trailer released not long ago shows off something that sounds similar to this, though it is unknown whether this game will allow you to actually drive the vehicle in the game (not shown in the trailer).
Around 4:33 is where the gameplay is first showed off: https://youtu.be/WU0gvPcc3jQ?t=273