What are the best franchise arcade racing games on PS4?

Much like Burnout or Need for Speed: Hot Pursuit, Need for Speed features open world gameplay where in the player can pick or choose which races they would like to compete in by driving around the map to certain markers. This makes for a more realistic environment due to the fact that you can just drive around to anywhere you want. The open world is loosely based on Los Angeles, an d is a good sized map for plenty of exploring.