I just started a sim from 1901. Going to stop on Jan 1, 2013 (would have stopped in 93, but the Astros moving makes me going to stop in present day.)
Stopped in April of 72 to make this post. Interesting history, here's just a little bit of it.
Batting Records
Pitching Records
I'll update once it stops in 2013. Some more interesting facts from this sim.
Joe DiMaggio played 20 years for the Whitesox and finished up for 2 years with the Cubs (appearing in only 3 games his final season.) He finished with a .312 Avg, 3101 H and 501 HR.
Roger Maris is in his 16th season with the Red Sox and has 371 career HR (averaging 31 a year.) His season-high for HR is 37.
Babe Ruth is a Cardinals hall of famer, though he only hit 217 homeruns in a career that spanned 1926-1938. He has a career high of 30 HR, and a .326 batting average. In 1937/38 combined he only played 111 games. Great player, but his real life career lasted from 1914-1935 so his numbers never came close to what they were.