Jim Rice led the American League in HR (3 times), RBI (twice), Slugging (twice) His career numbers were 382-1451-.298
Both finish in the top 5 MVP voting 6 times (though Dimaggio won the MVP 3 times to Rice’s 1). Joe competed against less teams and Rice competed against more sepcialized players. Put Rice in the late 1930's and 1940's and I think his HR total remains the same but his RBIs and Batting Average go up.
Here is a decent spring training card from the Donruss 1982 set.