Thanks to everyone who played! Here are the answers:
1880s: Anson
1890s: Delahanty
1900s: Wagner
1910s: Cobb
1920s: Hornsby
1930s: P. Waner
1940s: Bodreau
1950s: Ashburn
1960s: Clemente
1970s: Rose
1980s: Yount
1990s: Grace
2000s: Ichiro
Incidentally, although the 2010s wasn't part of the question, the leader so far is Miggy, with just under 1000 hits.
Congrats to Mikehealer and rats60 who both went 13/13 with their answers. However, rats60 did not include a tiebreaker answer, so Mikehealer is the winner by default.
PM me your address and I'll get the prize to you.
I had a PM asking me to do this for pitchers/wins by decade, so I'll post that in a couple minutes.