Upon revisiting, this is potentially better than the first mainly because it's a lot more fun to see Chris Tucker as the fish out of water than Chan. Leads to a lot more cultural buffoonery, which is the true gold of this series. Fun and nothing more - not that it needs to be.
Haters gonna hate, and I'mma be watching Rush Hour 2, laughing like a baller. Zhang Ziyi and John Lone are killing it, and Chris Tucker is at his Chris Tucker-iest, and I'm all about that, and Jackie Chan is being the man. You may think five stars is a little too much, but hey, it's all about subjectivity baby.