The name Fahrenheit is used for the Austral-asian games and Indigo Prophecy was used in the USA and UK. It is a great game made by the same people who made Heavy Rain (one of my favorites) and Omikron The Nomad Soul both you should be able to find second hand.
If you like stupid fun games Saints Row 2 is a lot like pre-GTA4 GTA games (though more extreme in the stupidity stakes). Grand Theft Auto 4 is more serious along with the Lost and the Damned Episode of Liberty City and a slightly more sillyer Ballard of Gay Tony Episode (both are DLC's and can now be brought on disc).
True Crime Streets Of New York is an old game but you can still find it around. You play as a guy who gets himself out of the gangs and into a police uniform. From there you decide if you are going to break the law or if your going to be a good cop. It's a gritty recreation of the real NY and does away with the weird Chinese ghost thing in Streets of LA.
Hope this helps 