I looked at Fangraphs, and for all CF with a minimum of 4,000 innings, Bradley ranked eighth in UZR/150. Jones was first and Death to Flying Things was second. Also ahead of Bradley were Billy Hamilton, Peter Bourjos, Lorenzo Cain, Leonys Martin and, for some reason, Corey Patterson. So he does make the top ten since UZR data completion started, which was in the early 2000's, I think.
And he should be ahead of Patterson, whom no one misses...