Test Drive Unlimited (2006) was never released on PS2. It launched on Xbox 360 and PC. You're likely confusing it with:
| Game | Year | Key Feature |
|---|---|---|
| Midnight Club 3: DUB Edition Remix | 2005 | Huge LA/Tokyo/Detroit, deep tuning, 100+ cars |
| Need for Speed: Most Wanted (2005) | 2005 | Police chases, Blacklist, open Rockport |
| Burnout Paradise | 2008 | Seamless Paradise City, stunt runs, no menus |
| Driver: Parallel Lines | 2006 | 1978/2006 NYC, car customization, on-foot |
If you want the TDU vibe (island cruise, used car dealers, houses), Midnight Club 3 DUB Remix is the closest PS2 equivalent.