Bush led the American League in losses (24) in 1916, walks allowed (109) in 1924, and wild pitches in 1916 (15), 1923 (12), and 1924 (7). While with the Athletics in 1916, when he led the league in losses, he won 15 games; the entire team won only 36 during what was then a Major League-worst 36-117 (.235 won-loss percentage) season. This was 41.7% of the team's total wins. On August 26 of that season, Bush no-hit the Cleveland Indians 5–0 at Shibe Park; a first inning, leadoff walk to Jack Graney was the only baserunner that kept him from a perfect game.
Bush finished fourth in voting for the 1922 American League MVP, as he led the league in winning percentage (.788). He also had a 26–7 win–loss record, 255+1⁄3 innings pitched, 85 walks allowed, 92 strikeouts, and a 3.31 earned run average.
Over a 17-year career, Bush had a 195–183 win–loss record, 488 games, 370 games started, 225 complete games, 35 shutouts, 93 games finished, 20 saves, 3,085+1⁄3 innings pitched, 2,990 hits allowed, 1,439 runs allowed, 1,203 earned runs allowed, 96 home runs allowed, 1,263 walks allowed, 1,318 strikeouts, 63 hit batsmen, 87 wild pitches, 13,053 batters faced, 1 balk, and a 3.51 earned run average.
Bush was also a very good hitting pitcher in his career, batting .253 (313-for-1239) with 128 runs, 7 home runs, and 140 RBI. He made 80 appearances as a pinch-hitter and was also used in the outfield.