I am continuously shunned by Burnout fans for this opinion, but I honestly think Burnout: Revenge is the greatest racer of all time.
It took the simple but polished and addictive gameplay from Burnout 3 and made improvements to everything that mattered. The style was revamped, the cars were cooler, more interesting tracks, a better soundtrack, and edgy menus. The addition of traffic-checking (being able to butt traffic off the road by merely touching it) was highly controversial, but I felt it added a layer of strategy, made for a fun traffic attack mode, and was generally extremely satisfying. Besides, crashing into same-way traffic was always frustrating. Also, I don't mean to be a graphics nerd, but the game literally had some of the best graphics I've ever seen on PS2.
The core action was still there. The gameplay is centered around going as fast as possible, while recklessly driving to earn boost so you can be even faster. Then there's dodging oncoming traffic (always fun) and trying to wreck other drivers. Crash mode returned, and it was better due to no cheap medals like heartbreaker or multipliers that felt more like luck than skill.
Only the pump in crash mode (annoying) and the ability to explode in aftertouch (cheap) were negative points in my opinion. Everything else improved on the already amazing Burnout 3. Therefore, it takes my title of best racer of all time and probably in my top 5 games of all time. Some of you may disagree with me. I have advise for you; I don't care. I love Burnout: Revenge to bits, and you cannot convert me.