2000 When House District 9 incumbent Republican Representatives William McGibbon ran for Arizona Senate and Lou-Ann Preble left the Legislature, leaving both seats open, Bradley ran unopposed in the September 12, 2000 Democratic Primary, winning with 6,486 votes, but in the four-way November 7, 2000 General election, lost to Republican nominees Marian McClure and Randy Graf.
2002 Redistricted to District 28, and with incumbent Republican Representatives Carolyn Allen and Wes Marsh both running for Arizona Senate and leaving both seats open, and Republican Representative Edward Poelstra redistricted from District 14, Bradley ran in the five-way September 10, 2002 Democratic Primary, placing second with 5,340 votes; in the November 5, 2002 General election, fellow Democratic nominee Theodore Downing took the first seat and Bradley took the second seat with 22,322 votes ahead of Representative Polestra.
2004 Bradley and Representative Downing were challenged the three-way September 7, 2004 Democratic Primary; Representative Downing placed first and Bradley placed second with 6,250 votes; in the five-way November 2, 2004 General election, Representative Downing took the first seat and Bradley took the second seat with 37,003 votes ahead of Republican nominees Bill Phillips, Richard Dale, and Libertarian candidate Daniel Hickman.
2006 With Democratic Representative Downing running for Arizona Senate and leaving a District 28 seat open, Bradley ran in the four-way September 12, 2006 Democratic Primary, taking second with 8,675 votes; in the three-way November 7, 2006 General election, fellow Democratic nominee Steve Farley took the first seat and Bradley took the second seat with 30,575 votes ahead of Republican nominee Bill Phillips.
2008 Bradley and Representative Farley were unopposed for both the September 2, 2008 Democratic Primary where Bradley placed second with 9,568 votes, and the November 2, 2010 General election, where Representative Farley took the first seat and Bradley took the second seat with 43,845 votes.
2010 Bradley ran for one of the two open seats on the Arizona Corporation Commission in the three-way August 24, 2010 Democratic Primary and placed second with 139,191 votes; fellow Democratic nominee Jorge Luis Garcia died before the November 2, 2010 General election, where Republican Senator Brenda Burns took the first seat and incumbent Republican Commissioner Gary Pierce took the second seat.
2012 Redistricted to District 10, and with incumbent Republican Senator Linda Gray retiring and leaving the Senate District 10 seat open, and Republican Senator Frank Antenori redistricted from District 30, Bradley was unopposed for the August 28, 2012 Democratic Primary, winning with 18,139 votes, and won the November 6, 2012 General election with 48,509 votes against Senator Antenori.
2014 Ran against the moderate Republican Mark Morrison. Bradley won and retained his seat as the incumbent