Since it's Sunday morning ... using bWAR
2010s managers
2011: Tony LaRussa -0.7 WAR
2012,2014: Bruce Bochy 2.4 WAR
2013: John Farrell 7.4 WAR
2015: Ned Yost -3.7 WAR
2016: Joe Maddon (no ML)
2017: AJ Hinch 0.1 WAR
2000s
2000: Joe Torre 57.6 WAR
2001: Bob Brenly 12.7 WAR
2002: Mike Scioscia 26.0 WAR
2003: Jack McKeon (no ML)
2004, 2007: Terry Francona -2.9 WAR
2005: Ozzie Guillen 20.9 WAR
2008: Charlie Manuel -2.3 WAR
2009: Joe Girardi 5.7 WAR
1990s:
1990: Lou Piniella 12.5 WAR
1991: Tom Kelly -0.5 WAR
1992, 1993: Cito Gaston -0.8 WAR
1995: Bobby Cox 0.9 WAR
1997: Jim Leyland (no ML)
1980s
1980: Dallas Green 2.2 WAR
1981: Tommy Lasorda -1.3 WAR
1982: Whitey Herzog 2.9 WAR
1983: Joe Altobelli -0.9 WAR
1984: Sparky Anderson -1.2 WAR
1985: Dick Howser 9.6 WAR
1986: Davey Johnson 27.5 WAR
1970s:
1970: Earl Weaver (no ML)
1971: Danny Murtaugh 6.4 WAR
1972, 1973: Dick Williams 3.4 WAR
1974: Al Dark 43.0 WAR
1977: Billy Martin 3.0 WAR
1978: Bob Lemon 48.8 WAR
1979: Chuck Tanner -0.2 WAR
1960s
1961-1962: Ralph Houk 0.1 WAR
1963: Walter Alston 0.0 WAR
1964: Johnny Keane (no ML)
1966: Hank Bauer 26.6 WAR
1967: Red Schoendienst 42.3 WAR
1968: Mayo Smith -0.7 WAR
1969: Gil Hodges 45.0 WAR
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So looking at since 1960, the nominees for this are
Joe Torre 57.6 WAR
Bob Lemon 48.8 WAR
Gil Hodges 45.0 WAR
Al Dark 43.0 WAR
Red Schoendinst 42.3 WAR
Obviously WAR is a starting point - then consider peakiness of career and such ...