Bruce Lee interview
Since there is this rather silly debate about Bruce Lee being the originator for Kung Fu, here is the public domain interview (his only) where he talks about "The Warrior". Around 22:00
http://archive.org/details/BruceLeeTheLostInterview1971
You may note that he speaks english rather well, and the accent isn't anything he couldn't have gotten over with a good speech coach, if it was deemed necessary.
They even talk about how he got the Green Hornet part since he was the only Asian actor who could pronounce "Britt Reid".
But the writers/producers of Kung Fu had something else in mind than an action series with Bruce Lee.
Draw your own conclusions.