Milner was one of the best defensive center fielders of the 1980s. A fast runner and a good-contact hitter, in 1986 he had a 20-game hitting streak and belted 15 home runs.
On August 2, 1986, Milner collected his team's only hit in a game for fifth time, tying Cesar Tovar's MLB record (1975).
Milner suffered from cocaine addiction during his baseball career. Commissioner Peter Ueberroth suspended him for the entire 1988 season after he relapsed, but he was reinstated before the All-Star break after completing a drug rehabilitation program.