Any good references for running a modern car chase? Maybe an example from one of the Star Wars books?

An example, or rules for it? Because SW has chase rules that should work fine.

If you like rules, Star Wars has some for this kind of thing. Some players want something less mechanical and more narrative. Using the system, a chase is almost like a combat.

Let's use two four-door automobile (Genesys, p. 231). They've the following stats: Sil 2, Max Speed 4, Hand +0, Def 0, Armor 0, HT 4, SS 5.

You should consider the speed during a chase: speed 1 or 2 (movement would be 2 range bands); speed 3 or 4 (movement would be 3 range bands). Obs.: speed 3 or 4 also increase the Piloting check by 1, and +20 to any critical hit collision check.

The vehicles have one maneuver and one action, or two maneuvers per turn, like the structured combat.

Maneuvers that the pilot can do:
Accelerate : you can increase you speed by 1 or more. It'll cost S equal the speed -1.
Brace for Impact: you can spend S to reduce damage by the same amount until the beginning of the next turn (max value equal the silhouete of the vehicle).
Evade: need a speed of 3 or more. Upgrade the difficult to any attack against the vehicle or against who's insinde until the beginning of the next turn.
Reposition: need a speed of 1 or more. Change your position to a max of one range band to avoid some obstacles, etc.

Actions that the pilot can do:
Dangerous Driving need a speed of 1 or more. Do it to avoid things. Do a Piloting check, difficult equal Sil + any speed adjustment.

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I'll try something using an PC and an NPC, but I won't write here their stats, we don't need that much detail. Just know that the PC won the initiative and both started the car with speed 0 (they were initially stopped).

Round 1

PC use one maneuver to accelerate, spending 2 S to get speed 3 and one more maneuver to reposition, to avoid small osbtacles.
NPC do the exactly the same.
Description : The two got into their cars and stepped on the accelerator, plodding at high speed, heading toward the road. Both drivers are good and the cars are very similar, so that in seconds were already in high-speed, avoiding the other cars, one behind the other. Note: they have moved something like 3 range bands from the initial spot.

Round 2

PC use one maneuver to accelerate, going to speed 3 to speed 4 (it has no game impact to be honest at this moment). One action to dangerous driving, difficult 3. He succeed and have used few advantagens to provide to himself one boost die, 1 setbacks to the NPC, and use one story point to create a police barricade just ahead.
NPC do the exactly the same, but he got few advantages. The PC use that to cause 2 more S to that car. In this moment, he have only 2 (5 from the car model - 2 due the acceleretion - 1 due the PC check = 2 S left).
Description : The two cars continued at high speed, winding through the other cars on that road. In a more skillful move, our hero manages to pass between two trucks and positions himself very well. His pursuer, however, did not count on this and eventually forced too much his vehicle to keep the chase and avoid an accident.

Round 3

PC use one maneuver to decelerate to speed 2 (1 S) and an action to do a Piloting check, he want to drift near the barricade and turn the car 90º, to rush in another direction. The difficult could be 2 or 3, i don't know, but it's important to note that he's, at the moment, at speed 2, so there's no upgrade in this check. He was succeed due the boost he got from the past test.
NPC decelerate as well to speed 2 at the cost of 1 strain, and do a Piloting check to do the same move as our hero, but he got few threats. The PC said that the NPC had few problems and less time to reaction, resulting in a colision. A critical hit occurs and the result is... 65. The propulsor is damaged!
Description : Our hero is able to maneuver at high speed in front of the police barricade, avoiding the impact and avoiding to stop in front of the police. His opponent, however, did not have the same luck and ended up colliding with the police cars, completely breaking his engine. While our hero is going to flee, the police will take care of the other guy, very angry with the accident that happened!

For a much simpler solution just look at page 26 of the Genesys core book, there’s even an example of a motorbike race.

To make it into a chase you simply decided the range between the adversaries at which the chase ends (usually if the chaser engages the escapee or the escapee gets to Extreme Range from the chaser). Each round at the start of the round the drivers make a competitive check, the winner determines if the gap between the two gets smaller or bigger by 1

I also made some stats for modern cars: