Dempsey led American League catchers twice in fielding percentage, twice in baserunners caught stealing and once in assists. He played more games as a catcher than any other player in Orioles history (1230). During his career, Dempsey caught ten different twenty game winning pitchers. He was a durable player, only going on the disabled list twice in his career.

This 1983 Baltimore Orioles World Series Champions unopened Coke bottle was signed in gold by Dempsey and inscribed, "83 WS MVP." This item includes a Great Moments COA.