This year, infielder Kolbrin Vitek joins them, as the Red Sox' No. 1 pick in the 2010 draft.
Here's a rundown of all the top Red Sox picks over the last 45 years (bolded names played in the majors for the Red Sox).
1965: Billy Conigliaro, OF, first round, No. 5 overall
1966: Ken Brett, LHP, first round, No. 4
1967: Mike Garman, RHP, first round, No. 3
1968: Tom Maggard, OF/C, first round, No. 20
1969: Noel Jenke, OF, first round, No. 13
1970: Jimmy Hacker, 3B, first round, No. 16
1971: Jim Rice, OF, first round, No. 15
1972: Joel Bishop, SS, first round, No. 16
1973: Ted Cox, SS, first round, No. 17
1974: Eddie Ford, SS, first round, No. 20
1975: Otis Foster, 1B, first round, No. 15
1976: Bruce Hurst, LHP, first round, No. 22
1977: Andrew Madden, RHP, first round, No. 13
1978: Edward Connors, 3B, fourth round, No. 102
1979: Marc Sullivan, C, second round, No. 52
1980: Mike Brown, RHP, second round, No. 48
1981: Steve Lyons, OF/SS, first round, No. 19
1982: Sam Horn, 1B, first round, No. 16
1983: Roger Clemens, RHP, first round, No. 19
1984: John Marzano, C, first round, No. 14
1985: Dan Gabriele, RHP, first round, No. 21
1986: Greg McMurtry, OF, first round, No. 14
1987: Reggie Harris, RHP, first round, No. 26
1988: Tom Fischer, LHP, first round, No. 12
1989: Greg Blosser, OF, first round, No. 16
1990: Frank Rodriguez, RHP, second round, No. 41
1991: Aaron Sele, RHP, first round, No. 23
1992: Tony Sheffield, OF, second round, No. 56
1993: Trot Nixon, OF, first round, No. 7
1994: Nomar Garciaparra, SS, first round, No. 12
1995: Andy Yount, RHP, first round, No. 15
1996: Josh Garrett, RHP, first round, No. 26
1997: John Curtice, LHP, first round, No. 17
1998: Adam Everett, SS, first round, No. 12
1999: Rick Asadoorian, OF, first round, No. 17
2000: Phil Dumatrait, LHP, first round, No. 22
2001: Kelly Shoppach, C, second round, No. 48
2002: Jon Lester, LHP, second round, No. 57
2003: David Murphy, OF, first round, No. 17
2004: Dustin Pedroia, SS, second round, No. 65
2005: Jacoby Ellsbury, OF, first round, No. 23
2006: Jason Place, OF, first round, No. 27
2007: Nick Hagadone, LHP, supplemental round, No. 55
2008: Casey Kelly, RHP/SS, first round, No. 30
2009: Reymond Fuentes, OF, first round, No. 28
2010: Kolbrin Vitek, INF, first round, No. 20