All of the Manfred Mann remakes of Springsteen tunes are FAR FAR better than the original Springsteen version, this one is no exception. However I've grown increasingly weary of BBTL due to being so overplayed on the radio.
So my vote goes to Steve Miller here partially for the reason above as well as this song (and entire album) have a special place in my heart due to some personal history involved with it.