There really hasn’t been a more stable every-day position for the Tribe than center field. The four major players during the Aught decade was Kenny Lofton, Milton Bradley, Coco Crisp and Grady Sizemore.
Bradley, although spectacular at times, was injury-prone, and an enigma. Crisp was an able athlete, but played most of his time at other positions. Lofton had a spectactular career with the Indians, but his days with the Tribe are now long behind him.
Taking all of that into account, the All-Aught Indians Center Fielder is Grady Sizemore.