10. Udonis Haslem
One of the Miami Heat’s most important players of the 2000s, Haslem almost missed out on his chance at the top. First of all, he wasn’t selected in the draft because he was pushing 300 lbs. After playing in France and losing weight, he came back and joined the Heat. His career then took off.
He was an unsung hero for a trio of the Heat’s championship-winning teams. First, he played a key role, scoring in double figures in the Wade-Shaq era. But then he had more of a cleanup role when Chris Bosh and LeBron James joined. Nonetheless, Haslem turned down big contracts elsewhere to become a Heat lifer.