Alex Rodriguez - 3 times
There is no denying that Alex Rodriguez was a steroid user given that he has admitted to using them and got suspended for the 2014 season for using them. However, he did put up results while he was with the Rangers as he had three straight seasons with 30+ home runs and north of 100 RBI from 2001-2003 including a 57 homer, 142 RBI mark in 2002 that seems absolutely nutty even now.
Frank Howard - 3 times
We have to go back a ways to the franchise's days as the Washington Senators to find the first three-time entrant on the list in Frank Howard. Howard actually pulled off the significantly harder 40 homer, 100 RBI trick from 1968-1970. Sadly, Howard's career dropped off in a hurry after that and he was out of the league after the 1973 season.
Josh Hamilton - 3 times
It isn't particularly surprising to see Josh Hamilton make the list here as he pulled off the feat in 2008, 2010, and 2012. Hamilton was an absolute offensive force when he was right, but personal demons continued to haunt Hamilton in his career and the subsequent damage to his body has most wondering what might have been if his life hadn't gone off the rails the way that it did.
Adrian Beltre - 3 times
Next up is Adrian Beltre who stamped his membership in the club three times in 2011, 2012, and 2016. Beltre was the model for consistent excellence in his career. From his early days with the Dodgers to the end of his career with the Rangers, Adrian produced at the plate in a number of ways while remaining one of the better defenders at third base in the league. He shouldn't have to wait too long to be inducted into Cooperstown.
Mark Teixeira - 3 times
The last three time entrant on the list is Mark Teixeira who had at least 30 homers and 100 RBI from 2004-2006. The Rangers got many of Teixeira's best years and while he played well in his short stint with Atlanta, the Yankees paid him $180 million only to see him deal with injuries and drop off a cliff in the back half of that deal.
No more Rangers players had more than one season that made the cut for the list and Dean Palmer is the name up thanks to his 1996 season where he hit 38 homers and drove in 107 runs. Palmer had a few nice seasons for the Rangers as well as the Royals and Tigers. Unfortunately, he generally gets forgotten given the era he played in.