During their entire franchise history the Miami Heat never had the first choice in the NBA draft. In fact they’ve picked in top three only once, Michael Beasley at #2, and top five three other times, Dwyane Wade #5, Steve Smith #5, and Glen Rice #4. Despite lacking elite draft picks, the Heat is the only team with multiple championships this decade, thus far. They’re also the only one with more than two visits to the NBA Finals, with trips this decade.
The Cleveland Cavaliers’ “Big Three” were gotten from number one draft picks: LrBron James (2003), Kyrie Irving (2011 via L.