It's kind of hard to say. While Bruce Lee has made such an impact on the world of martial arts and the film industry that it would be surprising to meet someone who doesn't know who he is, I would suggest that Jackie Chan is more well known because he is also a huge hit in the world and continues to be. Just look at people in their twenties or younger. Most of them know who Bruce Lee is, but how many have actually seen his films? On the other hand, Jackie Chan has been a hit with children for the last ten or so years. He was amazing in the 80s and 90s and still continues to be in the present. He even had his own cartoon. I would say he is overall more well known than Bruce Lee.