Burnout Revenge for the 360 isn't much different than the versions for the other, current generation systems, at least not gameplay wise.
The game supports seven different types of events, all spread across many different locations from big city streets to mountain summits. These events are Race, Traffic Attack, Burning Lap, Road Rage, Eliminator, Preview and Grand Prix Race.
Race is your standard race event where you will also try and take down other cars to earn boost and aggression. Traffic Attack is the classic mode from all of the previous Burnout titles. Here you race your car down a street into an intersection, all in an attempt to cause the most monetary damage as possible. The one thing I did miss from Revenge is when flying over the crash scene, the game no longer displays the amount of damage for each vehicle in the accident. In Burnout 3 when flying over, a dollar value would appear over each vehicle. Sure you couldn't physically count up the amount of money, but now the final dollar value seems to come out of nowhere.
Burning Lap is one lap around the track, while Road Rage has you racing around, over and over again with a clock ticking down. The more cars you wreck, the more time you gain and the more money you rack up. Eliminator is an all new event that has the last place position being, well, eliminated as time goes by. Preview gives you a sneak peek at a car and/or location that you can unlock later in the game and Grand Prix is your standard multi-race event.
Burnout Revenge is further broken down into 10 ranks from Harmless to Elite. Progression through the ranks is based on the number of stars you have collected in the game. The number of stars you earn in each event is based on a combination of your performance and your aggression. You can earn a Silver, Bronze or Gold medal in each event as well as aggression values of OK, Good, Great and Awesome. These values earn you one, two, three and four stars respectively. If you get a Bronze medal in the event, you lose a star, if you earn a Silver, you keep the same number of stars and if you nab a Gold you will gain an extra star.
So if you compete in a crash event and earn enough crash-dollars to grab a gold, while also earning an Awesome in the aggression meter, then you will achieve a full five stars in that event.