Road Rage 3

Race against speed freaks and adrenaline junkies on tough mountain tracks in this fast and Furious championship. Engage in time trails and intense 400-meter races in your quest to win the "Fastest of the Pass" title. Win the Battle King mode and race against the famous Drift King. Drive 30 actual modes from six Japanese famous auto manufacturers (Honda, Mazda, Mitsubishi, Nissan, Subaru, Toyota). The game also includes a two-player mode.

important note! :

Road Rage 3 (Touge 3 in Japan) is a Racing video game published by Atlus, Phoenix Games released on January 16th, 2004 for the PlayStation 2.

No relation with PS1 "Road Rage" OR PS4 "Road Rage".

You'll go nuts trying to find Road Rage 2 and 1. Because they don't exist. This is actually called 峠３ "Touge 3" in Japan. The franchise goes like this:

1-Touge King the Spirits (Sega Saturn) - November 10, 1995

2-Touge King the Spirits 2 (Sega Saturn) - April 18, 1997

3-Touge 3 (This game)

4-Touge R (Xbox) - December 12, 2002

There's also the "Touge MAX" series but those are a spin-off, not direct sequels.