I ran a historical sim 1901-2007, with fictional players alongside the historical ones, and with an annual amateur draft for non-historical distribution of players.
When it was over and I generated the League's Leaderboards, and I was pleasantly surprised (shocked, actually) that the highest single-season batting average wasn't Hugh Duffy's .440 in 1894, but Tony Gwynn's .445 in 1994!
.445! And exactly 100 years later.
Curiously enough, by this point in his career Gwynn had arrived in San Diego (traded from California in 1990) so he had his best season as a Padre. And it's nice that he got to 3000 hits before he retired.