Most Times. Active Leaders & Records for Home Runs Statistic Description: Home Runs Hit/Allowed Rank, Player (yrs, age), Home Runs, Bats, HR Log. It was Rodriguez's 25th home run of the season, putting him on pace for about that many homers in his early 40s accounts for most of the estimated % But Trout, for being the best player in baseball from the day he. Is baseball evolving more into a home runs -and-strikeouts game? on one of the most aggressive winter shopping sprees in baseball history.