Need for Speed III: Hot Pursuit contains a nice mix of high speed racing and awesome police chases.
Burnout 2 blends intense racing with vehicular carnage in a fun way making this one of the best games of its kind.
SWAT 3 is right up there with the best tactical shooters, even to this day. It has some of the greatest AI in video games and can be a truly immersive experience.
If you want to feel like a badass cop and kill a ton of bad guys than Urban Chaos: Riot Response is the game for you. A hidden gem from the sixth-generation era of consoles.