Fourteen different Red Sox players have won a total of 36 Gold Gloves since the award was begun in 1957. Dwight Evans with eight Gold Gloves is the all-time Red Sox leader while Carl Yastrzemski is second with seven. Only three outfielders have won more Gold Gloves than Evans: Willie Mays (12), Roberto Clemente (12) and Al Kaline (10).

Relief Man of the Year Award

Single Season leaders

Batting Champions
- 1938: Jimmie Foxx (.349)
- 1941: Ted Williams (.406)
- 1942: Ted Williams (.356)
- 1947: Ted Williams (343)
- 1948: Ted Williams (.369)
- 1957: Ted Williams (.388)
- 1958: Ted Williams (.328)
- 1960: Pete Runnels (.320)
- 1962: Pete Runnels (.326)
- 1963: Carl Yastrzemski (.321)
- 1967: Carl Yastrzemski (.326)
- 1968: Carl Yastrzemski (.301)
- 1979: Fred Lynn (.333)
- 1981: Carney Lansford (.336)
- 1983: Wade Boggs (.361)
- 1985: Wade Boggs (.368)
- 1986: Wade Boggs (.357)
- 1987: Wade Boggs (.363)
- 1988: Wade Boggs (.366)
- 1999: Nomar Garciaparra (.357)
- 2000: Nomar Garciaparra (.372)
- 2002: Manny Ramirez (.349)
- 2003: Bill Mueller (.326)

Home Run Champions
- 1910: Jake Stahl (10)
- 1918: Babe Ruth (11)
- 1919: Babe Ruth (29)
- 1939: Jimmie Foxx (35)
- 1941: Ted Williams (37)
- 1942: Ted Williams (36)
- 1947: Ted Williams (32)
- 1949: Ted Williams (43)
- 1965: Tony Conigliaro (45)
- 1967: Carl Yastrzemski (44)
- 1977: Jim Rice (39)
- 1978: Jim Rice (46)
- 1981: Dwight Evans (22)
- 1983: Jim Rice (39)
- 1984: Tony Armas (43)
- 2004: Manny Ramirez (43)

RBI Champions
- 1902: Buck Freeman (121)
- 1903: Buck Freeman (104)
- 1919: Babe Ruth (114)
- 1938: Jimmie Foxx (175)
- 1939: Ted Williams (145)
- 1942: Ted Williams (137)
- 1947: Ted Williams (114)
- 1949: Vern Stephens and Ted Williams (159)
- 1950: Walt Dropo and Vern Stephens (144)
- 1955: Jackie Jensen: (116)
- 1958: Jackie Jensen (122)
- 1959: Jackie Jensen (112)
- 1963: Dick Stuart (118)
- 1967: Carl Yastrzemski (121)
- 1968: Ken Harrelson (109)
- 1978: Jim Rice (139)
- 1983: Jim Rice (126)
- 1984: Tony Armas (123)
- 1995: Mo Vaughn (126)

Winning Games leaders
- 1901: Cy Young (33)
- 1902: Cy Young (32)
- 1903: Cy Young (28)
- 1912: Smokey Joe Wood (34)
- 1935: Wes Ferrell (25)
- 1942: Tex Hughson (22)
- 1955: Frank Sullivan (18)
- 1967: Jim Lonborg (22)
- 1986: Roger Clemens (24)
- 1987: Roger Clemens (20)
- 1999: Pedro Martinez (23)
- 2004: Curt Schilling (21)

Strikeouts leaders
- 1901: Cy Young (158)
- 1942: Tex Hughson (113)
- 1967: Jim Lonborg (246)
- 1988: Roger Clemens (291)
- 1991: Roger Clemens (241)
- 1996: Roger Clemens (257)
- 1999: Pedro Martinez (313)
- 2000: Pedro Martinez (284)
- 2001: Hideo Nomo (220)
- 2002: Pedro Martinez (239)

ERA leaders
- 1901: Cy Young (1.62)
- 1914: Dutch Leonard (0.96)
- 1915: Smokey Joe Wood (1.49)
- 1916: Babe Ruth (1.75)
- 1935: Lefty Grove (2.70)
- 1936: Lefty Grove (2.81)
- 1938: Lefty Grove (3.08)
- 1939: Lefty Grove (2.54)
- 1949: Mel Parnell (2.78)
- 1972: Luis Tiant (1.91)
- 1986: Roger Clemens (2.48)
- 1990: Roger Clemens (1.93)
- 1991: Roger Clemens (2.62)
- 1992: Roger Clemens (2.41)
- 1999: Pedro Martinez (2.07)
- 2000: Pedro Martinez (1.74)
- 2002: Pedro Martinez (2.26)
- 2003: Pedro Martinez (2.22)

American League Championship Series MVP
- 1986: Marty Barrett
- 2004: David Ortiz