Haven't looked at other answers, but off the top of my head I would say:
1880s: Cap Anson
1890s: Billy Hamilton
1900s: Honus Wagner
1910s: Ty Cobb
1920s: Rogers Hornsby
1930s: Paul Waner
1940s: Stan Musial
1950s: Nellie Fox
1960s: Roberto Clemente
1970s: Pete Rose
1980s: Eddie Murray
1990s: Tony Gwynn
2000s: Ichiro
Tiebreaker: 1750
Tom C
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