ATV Offroad Fury 2 was a game that came bundled with the PS2 (the one that came with the online modem that you could insert into the back of the console (look at how big this thing is)), but I only knew one other person who has ever heard of this game. When it was released, this game had cutting-edge graphics, realistic physics, cool environments, great AI, and a variety of game modes anywhere from tag or hockey to freestyle (trying to get the most points) and championships.
The physics were so in-depth that they had different traction for different surfaces, they would have you fall off the ATV if you went upside-down midair, and they had crashes based on how hard the car impacted and what angle the crash was at. You got a good sense of progress because of all of the unlockables, and if you just decide to unlock everything and skip all of the rewarding chamionships, you could go to the cheat screen and enter "IGIVEUP" or enter "FLYPAPER" to disable crashes.
You could also change your suspension (loose, tight), engine (top speed, acceleration), and your traction. There were different pieces of gear you could unlock as well as more games, courses, and ATVs. The licensed soundtrack is very stereotypical of the early 2000s and most of the songs were great (in my opinion), but if you hated the whole pop-punk/punk movement in the early 2000s, you may not like it as much.
In addition, this game supported online multiplayer and local four-player on a multi-tap. The only strikes against it are its physics sometimes go a bit wonky, the graphics haven't aged superbly, and the online servers went offline long ago, but it's still fun to pop in and play whether you are alone or with a group of friends.