Only guy I can think of is Johnny Kling, the catcher for the 1908 Cubs, actually even got a single vote for the first ever Hall vote. Noisy, as he was called, avoided smoking or drinks, and actually was genuinely kind to umpires, all of which were rarities 110 some years ago, and as much, found real estate post playing career for his savvy and smarts. He played zero innings 1909 and was perfectly healthy. His OPS+, wOBA, and wRC+ in 1908 (age 32) and 1910 (age 34) respectively: 118/.339/119 and 109/.353/110, although he rapidly declined in playing time after 1910, but personally I speculate this due to aging rather than a missed season. His 1912 was nice, yes, but in a limited sample size.
So, the story as to why goes a little something like this: Cubs beat the Tigers 4-1. Truly a dominant stretch, as the Cubs had won three National League pennants in a row, joining only Pittsburgh across baseball with that many since the Western League declared itself a major league and rebranded to the American League in 1901.
So Kling, ever the businessman, wins the world pocket billiards championship, a title of which he would fail to retain in 1909 after this all went down, and would warn against future players doing the same. He then subsequently invests $50,000 (about $1.4M today) into KC billiard emporiums. Cubs owner Frank Murphy was informed and let Kling enjoy a leave of absence. Murphy was fine with this on the initial onset, and just wanted to be sure Kling had his business in good hands. Contrary to belief of news media at the time, this wasn't a back and forth holdout. The Commissioner’s report in the matter stated that Kling still had a year left on his contract for 1909. Despite being granted this leave, Kling was still fined $700 for not showing up, and his salary in 1910 was $4,500, same as he made in 1908.
It only took 108 seasons for the Cubs to win a title after that...